Fermats Last Theorem Demonstration! by, Anthony.R.Brown (1998 Solved )

AnthonyRBrown · 2024-03-11 22:59:56

Bob wrote:

https://i.imgur.com/K8r53cv.gif
Bob

Nice try Bob

But your counter argument? is flawed from the Start! because we all know you are trying to calculate Squared numbers? and not Cube numbers!

Let's stick with The Original problem stated Xn,Yn,Zn must be > 2

Bob · 2024-03-12 01:20:41

This is a valid way to show that a method is not valid. See

https://rintintin.colorado.edu/~vancecd … ounter.pdf

Specifically

2. On Invalid Argument Forms: Here is a form of argument that is NOT valid:
1. All people who wear 3-cornered hats are Colonial Williamsburg employees.
2. All people who fire canons daily are Colonial Williamsburg employees.
3. Therefore, all people who wear 3-cornered hats are people who fire canons daily.
The form of the argument can be expressed as follows:
1. All A’s are B’s.
2. All C’s are B’s.
3. Therefore, all A’s are C’s.
To see that this is not valid, we only need to come up with one example where the
premises are true, but the conclusion is clearly false. Consider:
1. All dogs are mammals.
2. All cats are mammals.
3. Therefore, all dogs are cats.

Here's another example. A person says "Whenever I start a line of a proof by saying 'Fingers Crossed', whatever follows on that line is TRUE."

He then goes on to give this 'proof'.

Fingers crossed (x + 3)^3 = x^3 + 3x^2 + 9x + 27

Now I'm pretty sure this is not a valid proof but I have a problem. The result happens to be true, so how can I show the 'proof' is invalid. Certinly not by trying some values of x, because I can see the conclusion will always be Ok.

So I ask him to use his method to prove that 3 = 5.

Easy he says: "Fingers crossed 3 = 5"

Now I know the method is not valid as this second conclusion is FALSE.

Bob

AnthonyRBrown · 2024-03-12 01:52:40

Interesting stuff Bob

Almost as complicated as "One morning I shot an elephant in my pyjamas"

Did the person Kill the elephant? Did the person take a photo of the elephant?

Was the person wearing the pyjamas? Was the elephant wearing the pyjamas?

A real problem for AI to solve

Another example...

I once ask a Scientific person Why can we see through Glass? he gave me a long winded scientific reply! Where I replied please I want to believe you, but if I can touch something solid,then I should not be able to see through it!

There you go the Mysteries of the World!

Bob · 2024-03-12 22:19:30

And how did an elephant fit in his pyjamas whilst he was wearing them; and isn't it a bit dangerous shooting at it whilst it's there?

Bob

AnthonyRBrown · 2024-03-12 23:03:01

What is the meaning of this famous Groucho Marx joke? "One morning I shot an elephant in my pajamas. How he got into my pajamas I’ll never know."

https://ell.stackexchange.com/questions/77370/what-is-the-meaning-of-this-famous-groucho-marx-joke-one-morning-i-shot-an-ele

phrontister · 2024-03-17 19:01:06

Hi AnthonyRBrown;

AnthonyRBrown (post #1) wrote:

FERMATS LAST THEOREM DEMONSTRATION! BY, ANTHONY.R.BROWN (1998 SOLVED )
THE INFINITE MATHEMATICAL PATTERN OF CUBE NUMBERS!
BELOW IS MY DEMONSTRATION OF FERMATS LAST THEOREM,IT IS BASED ON THE INFINITE MATHEMATICAL PATTERN OF THE FIRST (10) CUBE NUMBERS AS A GROUP! YOU WILL SEE THAT THE LAST OR SINGLE NUMBER,FROM EACH OF THE (10) CUBE NUMBERS REPEATS ITSELF AT THE END OF EACH CUBE NUMBER, IN THE COLUMN,GIVEN IN BRACKETS () THIS PATTERN REPEATS ITSELF NO MATTER HOW LARGE OR SMALL THE CUBE NUMBERS ARE....

AnthonyRBrown (post #2) wrote:

Below is a BASIC program to show my FLT Demonstration...
Lines 1-37: Lots of code
Lines 38-50:
PRINT TAB(95); " { FERMATS LAST THEOREM } DEMONSTRATION PROGRAM "
PRINT
PRINT TAB(95); " BY,Anthony.R.Brown V.01/01/1998 "
PRINT
PRINT TAB(14); "*******************************************************"
PRINT
PRINT " THE PROBLEM IS AS FOLLOWS! "
PRINT " are there any whole numbers e.g (x,y,z) cube numbers "
PRINT " where x3 + y3 = z3 NOTICE = (Xn,Yn,Zn) n Must be greater than (2) "
PRINT " an example that does not work is given below "
PRINT " x = 64 cube y = 64 cube Z = 125 cube X + Y = 128 (+ 3) > Z "
PRINT " if you could use zero?? then the answer would be, "
PRINT " x = 0 y = 0 z = 0 simple! X + Y = Z "
Lines 51-345: Lots more code

From what you said in post #2 ("Below is a BASIC program to show my FLT Demonstration...{ FERMATS LAST THEOREM } DEMONSTRATION PROGRAM"), I thought that the program would use the "FERMATS LAST THEOREM DEMONSTRATION!" Pattern concepts that you described in post #1 and subsequent posts.

However, it doesn't.

Hmm...

phrontister · 2024-03-19 12:57:57

AnthonyRBrown wrote:

The program does,you have to Run the "INPUT " ENTER (Y) TO RUN MAKE CUBE NUMBER PROGRAM! "; RUNMAKECUBES"
When it starts it's the 2nd option which I agree some do not find it!

Ah...yes. It does, but only for Pattern A.

However, there's no reference to its existence, nor how to run it, during the running of the main program.

AnthonyRBrown · 2024-03-21 22:30:24

My FLT working compiled program plus Screenshots above can be download from my Github below,plus my other ARB Strongest Games Programs in the World!

https://github.com/TARBCS/The-A.R.B-Strongest-Games-Programs-In-The-World

A.R.B

Last edited by AnthonyRBrown (2024-03-21 22:32:58)

phrontister · 2024-03-22 02:41:39

Hi AnthonyRBrown;

Your updated program seems to run well!

I haven't had time to look at it all that much, but I noticed you didn't include a fix for this:

phrontister wrote:

AnthonyRBrown wrote:
The program does,you have to Run the "INPUT " ENTER (Y) TO RUN MAKE CUBE NUMBER PROGRAM! "; RUNMAKECUBES"
When it starts it's the 2nd option which I agree some do not find it!
...
However, there's no reference to its existence, nor how to run it, during the running of the main program.

This is the part of your code I was referring to (now lines 123 to 132 in the update):

AnthonyRBrown wrote:

...
INPUT " ENTER (Y) TO RUN CUBE NUMBER TEST PROGRAM! "; RUNCUBESTEST
CLS
IF RUNCUBESTEST = "Y" THEN GOTO CUBETESTLB
IF RUNCUBESTEST = "y" THEN GOTO CUBETESTLB
CLS
PRINT: PRINT
INPUT " ENTER (Y) TO RUN MAKE CUBE NUMBER PROGRAM! "; RUNMAKECUBES
CLS
IF RUNMAKECUBES = "y" THEN RUNMAKECUBES = "Y"
IF RUNMAKECUBES = "Y" THEN GOTO MAKECUBESLB
...

And here's the sort of fix I've got in mind, replacing the above code:

INPUT " ENTER (T) TO RUN CUBE NUMBER TEST or (M) TO RUN CUBE NUMBER MAKER.."; RUNCUBESTEST
CLS
IF RUNCUBESTEST = "T" THEN GOTO CUBETESTLB
IF RUNCUBESTEST = "t" THEN GOTO CUBETESTLB
IF RUNCUBESTEST = "M" THEN GOTO MAKECUBESLB
IF RUNCUBESTEST = "m" THEN GOTO MAKECUBESLB

That would help people to see, and run, the 'hidden' 2nd option, instead of maybe stumbling upon it.

Last edited by phrontister (2024-03-22 02:51:01)

phrontister · 2024-03-22 10:55:55

AnthonyRBrown wrote:

At the start of the program it mentions there are 2 options to run the Make cubes,anyone can find it running the program 1st or 2nd time,the program is cast in stone and date stamped 21/03/2024.

Oh well, I enjoyed the exercise. I haven't touched BASIC in quite a while, and it was nice to renew my acquaintance with it. My change to lines 123 to 132 seems to work fine.

Last edited by phrontister (2024-03-25 18:01:21)

AnthonyRBrown · 2024-03-22 21:42:27

Your so called fix? "My change to lines 123 to 132 seems to work fine." does not work!

My Original 2 variables RUNCUBESTEST and RUNMAKECUBES are separate for a reason,by making one variable do both inputs like you have by only using RUNCUBESTEST the way you have below? is missing the important letter input "Y" for the RUNMAKECUBES variable,which is needed at the end of the program!

IF RUNCUBESTEST = "T" THEN GOTO CUBETESTLB
IF RUNCUBESTEST = "t" THEN GOTO CUBETESTLB
IF RUNCUBESTEST = "M" THEN GOTO MAKECUBESLB
IF RUNCUBESTEST = "m" THEN GOTO MAKECUBESLB

Below is my Original code...

INPUT " ENTER (Y) TO RUN CUBE NUMBER TEST PROGRAM! "; RUNCUBESTEST
CLS
IF RUNCUBESTEST = "Y" THEN GOTO CUBETESTLB
IF RUNCUBESTEST = "y" THEN GOTO CUBETESTLB
CLS
PRINT: PRINT
INPUT " ENTER (Y) TO RUN MAKE CUBE NUMBER PROGRAM! "; RUNMAKECUBES
CLS
IF RUNMAKECUBES = "y" THEN RUNMAKECUBES = "Y"
IF RUNMAKECUBES = "Y" THEN GOTO MAKECUBESLB

You can see above the RUNCUBESTEST is covered for when a person is doing a lazy input by using Upper case "Y" or lower case "y" so both will work
Where as the RUNMAKECUBES needs the input to be converted to Upper case,which it is with the code...

Now when we get to the end of the program below...

You will see my code will print the important message about the FERMFILE.TXT because the "Y" has been input if the MAKE CUBE NUMBER PROGRAM! has been chose,where as your code will never show the message!

REM***************************************************************************
RUNAGAINLB:
REM***************************************************************************
IF RUNMAKECUBES = "Y" THEN PRINT
IF RUNMAKECUBES = "Y" THEN PRINT ; " THE CUBE NUMBERS HAVE BEEN SAVED TO FERMFILE.TXT "
IF RUNMAKECUBES = "Y" THEN PRINT
IF RUNMAKECUBES = "Y" THEN PRINT " IF YOU RUN THE PROGRAM AGAIN THE PREVIOUS FERMFILE.TXT WILL BE ERASED! "
PRINT: PRINT
INPUT " PRESS (ENTER) TO RUN AGAIN OR (Q) TO QUIT! "; QUIT
IF QUIT = "Q" THEN END
IF QUIT = "q" THEN END
RUN
END

The important lesson here is if you are going to mess with someone else's code then first make sure you know exactly what every Variable is doing,throughout the entire program!,rather than just the few lines of code you can see in front to you!

Just incase anyone missed my other message above I am repeating it below...

My FLT working compiled program plus Screenshots above can be download from my Github below,plus my other ARB Strongest Games Programs in the World!

https://github.com/TARBCS/The-A.R.B-Strongest-Games-Programs-In-The-World

A.R.B

Last edited by AnthonyRBrown (2024-03-22 21:48:45)

phrontister · 2024-03-23 04:01:29

AnthonyRBrown wrote:

Your so called fix? "My change to lines 123 to 132 seems to work fine." does not work!
You will see my code will print the important message about the FERMFILE.TXT because the "Y" has been input if the MAKE CUBE NUMBER PROGRAM! has been chose,where as your code will never show the message!

Sorry about that! Yes, in my haste last night, waaay after midnight and while yawning my way through the exercise, I clumsily overlooked the impact that my changes would have on FERMFILE. And, being a slow learner, I'm here again waaay after midnight, trying to fix my so-called 'fix'!

But, I think I've actually fixed it this time, as everything I checked (which I hope was all the nessessary bits) works fine, including FERMFILE.

Here are our two programs for comparison (your original update for Patterns A,B,C, and my edited version of it):

My edited program (including the subsequent edits described below the hide box):

My subsequent edits that I referred to above:

1. I replaced your lines 123-132 with lines 124 & 125:
If RUNCUBESTEST = "T" Or RUNCUBESTEST = "t" Then GoTo CUBETESTLB
If RUNCUBESTEST = "M" Or RUNCUBESTEST = "m" Then GoTo MAKECUBESLB

2. I replaced your lines 342-345 with lines 335-340:
If RUNCUBESTEST = "M" Or RUNCUBESTEST = "m" Then
Print
Print ; " THE CUBE NUMBERS HAVE BEEN SAVED TO FERMFILE.TXT "
Print
Print " IF YOU RUN THE PROGRAM AGAIN THE PREVIOUS FERMFILE.TXT WILL BE ERASED! "
End If

3. I deleted line 11: 'Dim Shared RUNMAKECUBES As String' (after Change 2, QB64 flagged it as being an unused variable).

4. I replaced your lines 348,349 with line 343:
If QUIT = "Q" Or QUIT = "q" Then End

You'll notice that in Changes 1, 2 & 4 I included the boolean 'Or', and in Change 2 I trimmed out the superfluous 'If...Then' lines (closing it off with an 'End If'). I did that mainly because I learnt BASIC on an old pocket computer with an extreeemely tiny memory and got into the habit of minimising code.

My edits are only suggestions, of course...you may prefer your more expanded style.

Last edited by phrontister (2024-03-25 18:07:19)

AnthonyRBrown · 2024-03-23 05:02:49

Oh! dear! there must be an age difference between us!

AnthonyRBrown · 2024-03-23 22:32:14

Below a link to the final version of my FERMATS LAST THEOREM DEMONSTRATION PROGRAM

github.com/TARBCS/The-A.R.B-Strongest-Games-Programs-In-The-World

It now prints & saves all Patterns A,B,C to the screen & saves in an external file.

Now we have the Proof! for FLT

Below shows the 1st 1000 Cubes produced by my New! MAKE CUBE NUMBER PROGRAM! with the Patterns A,B,C

CUBE = 1 : PATTERNA1 = 1 : PATTERNB7 = 7 : PATTERNC1 = 1 : COUNT = 1
CUBE = 8 : PATTERNA8 = 8 : PATTERNB9 = 19 : PATTERNC4 = 4 : COUNT = 2
CUBE = 27 : PATTERNA7 = 27 : PATTERNB7 = 37 : PATTERNC9 = 9 : COUNT = 3
CUBE = 64 : PATTERNA4 = 64 : PATTERNB1 = 61 : PATTERNC6 = 16 : COUNT = 4
CUBE = 125 : PATTERNA5 = 125 : PATTERNB1 = 91 : PATTERNC5 = 25 : COUNT = 5
CUBE = 216 : PATTERNA6 = 216 : PATTERNB7 = 127 : PATTERNC6 = 36 : COUNT = 6
CUBE = 343 : PATTERNA3 = 343 : PATTERNB9 = 169 : PATTERNC9 = 49 : COUNT = 7
CUBE = 512 : PATTERNA2 = 512 : PATTERNB7 = 217 : PATTERNC4 = 64 : COUNT = 8
CUBE = 729 : PATTERNA9 = 729 : PATTERNB1 = 271 : PATTERNC1 = 81 : COUNT = 9
CUBE = 1000 : PATTERNA0 = 0 : PATTERNB1 = 331 : PATTERNC0 = 100 : COUNT = 10
CUBE = 1331 : PATTERNA1 = 1 : PATTERNB7 = 397 : PATTERNC1 = 121 : COUNT = 11
CUBE = 1728 : PATTERNA8 = 8 : PATTERNB9 = 469 : PATTERNC4 = 144 : COUNT = 12
CUBE = 2197 : PATTERNA7 = 27 : PATTERNB7 = 547 : PATTERNC9 = 169 : COUNT = 13
CUBE = 2744 : PATTERNA4 = 64 : PATTERNB1 = 631 : PATTERNC6 = 196 : COUNT = 14
CUBE = 3375 : PATTERNA5 = 125 : PATTERNB1 = 721 : PATTERNC5 = 225 : COUNT = 15
CUBE = 4096 : PATTERNA6 = 216 : PATTERNB7 = 817 : PATTERNC6 = 256 : COUNT = 16
CUBE = 4913 : PATTERNA3 = 343 : PATTERNB9 = 919 : PATTERNC9 = 289 : COUNT = 17
CUBE = 5832 : PATTERNA2 = 512 : PATTERNB7 = 1027 : PATTERNC4 = 324 : COUNT = 18
CUBE = 6859 : PATTERNA9 = 729 : PATTERNB1 = 1141 : PATTERNC1 = 361 : COUNT = 19
CUBE = 8000 : PATTERNA0 = 0 : PATTERNB1 = 1261 : PATTERNC0 = 400 : COUNT = 20
CUBE = 9261 : PATTERNA1 = 1 : PATTERNB7 = 1387 : PATTERNC1 = 441 : COUNT = 21
CUBE = 10648 : PATTERNA8 = 8 : PATTERNB9 = 1519 : PATTERNC4 = 484 : COUNT = 22
CUBE = 12167 : PATTERNA7 = 27 : PATTERNB7 = 1657 : PATTERNC9 = 529 : COUNT = 23
CUBE = 13824 : PATTERNA4 = 64 : PATTERNB1 = 1801 : PATTERNC6 = 576 : COUNT = 24
CUBE = 15625 : PATTERNA5 = 125 : PATTERNB1 = 1951 : PATTERNC5 = 625 : COUNT = 25
CUBE = 17576 : PATTERNA6 = 216 : PATTERNB7 = 2107 : PATTERNC6 = 676 : COUNT = 26
CUBE = 19683 : PATTERNA3 = 343 : PATTERNB9 = 2269 : PATTERNC9 = 729 : COUNT = 27
CUBE = 21952 : PATTERNA2 = 512 : PATTERNB7 = 2437 : PATTERNC4 = 784 : COUNT = 28
CUBE = 24389 : PATTERNA9 = 729 : PATTERNB1 = 2611 : PATTERNC1 = 841 : COUNT = 29
CUBE = 27000 : PATTERNA0 = 0 : PATTERNB1 = 2791 : PATTERNC0 = 900 : COUNT = 30
CUBE = 29791 : PATTERNA1 = 1 : PATTERNB7 = 2977 : PATTERNC1 = 961 : COUNT = 31
CUBE = 32768 : PATTERNA8 = 8 : PATTERNB9 = 3169 : PATTERNC4 = 1024 : COUNT = 32
CUBE = 35937 : PATTERNA7 = 27 : PATTERNB7 = 3367 : PATTERNC9 = 1089 : COUNT = 33
CUBE = 39304 : PATTERNA4 = 64 : PATTERNB1 = 3571 : PATTERNC6 = 1156 : COUNT = 34
CUBE = 42875 : PATTERNA5 = 125 : PATTERNB1 = 3781 : PATTERNC5 = 1225 : COUNT = 35
CUBE = 46656 : PATTERNA6 = 216 : PATTERNB7 = 3997 : PATTERNC6 = 1296 : COUNT = 36
CUBE = 50653 : PATTERNA3 = 343 : PATTERNB9 = 4219 : PATTERNC9 = 1369 : COUNT = 37
CUBE = 54872 : PATTERNA2 = 512 : PATTERNB7 = 4447 : PATTERNC4 = 1444 : COUNT = 38
CUBE = 59319 : PATTERNA9 = 729 : PATTERNB1 = 4681 : PATTERNC1 = 1521 : COUNT = 39
CUBE = 64000 : PATTERNA0 = 0 : PATTERNB1 = 4921 : PATTERNC0 = 1600 : COUNT = 40
CUBE = 68921 : PATTERNA1 = 1 : PATTERNB7 = 5167 : PATTERNC1 = 1681 : COUNT = 41
CUBE = 74088 : PATTERNA8 = 8 : PATTERNB9 = 5419 : PATTERNC4 = 1764 : COUNT = 42
CUBE = 79507 : PATTERNA7 = 27 : PATTERNB7 = 5677 : PATTERNC9 = 1849 : COUNT = 43
CUBE = 85184 : PATTERNA4 = 64 : PATTERNB1 = 5941 : PATTERNC6 = 1936 : COUNT = 44
CUBE = 91125 : PATTERNA5 = 125 : PATTERNB1 = 6211 : PATTERNC5 = 2025 : COUNT = 45
CUBE = 97336 : PATTERNA6 = 216 : PATTERNB7 = 6487 : PATTERNC6 = 2116 : COUNT = 46
CUBE = 103823 : PATTERNA3 = 343 : PATTERNB9 = 6769 : PATTERNC9 = 2209 : COUNT = 47
CUBE = 110592 : PATTERNA2 = 512 : PATTERNB7 = 7057 : PATTERNC4 = 2304 : COUNT = 48
CUBE = 117649 : PATTERNA9 = 729 : PATTERNB1 = 7351 : PATTERNC1 = 2401 : COUNT = 49
CUBE = 125000 : PATTERNA0 = 0 : PATTERNB1 = 7651 : PATTERNC0 = 2500 : COUNT = 50
CUBE = 132651 : PATTERNA1 = 1 : PATTERNB7 = 7957 : PATTERNC1 = 2601 : COUNT = 51
CUBE = 140608 : PATTERNA8 = 8 : PATTERNB9 = 8269 : PATTERNC4 = 2704 : COUNT = 52
CUBE = 148877 : PATTERNA7 = 27 : PATTERNB7 = 8587 : PATTERNC9 = 2809 : COUNT = 53
CUBE = 157464 : PATTERNA4 = 64 : PATTERNB1 = 8911 : PATTERNC6 = 2916 : COUNT = 54
CUBE = 166375 : PATTERNA5 = 125 : PATTERNB1 = 9241 : PATTERNC5 = 3025 : COUNT = 55
CUBE = 175616 : PATTERNA6 = 216 : PATTERNB7 = 9577 : PATTERNC6 = 3136 : COUNT = 56
CUBE = 185193 : PATTERNA3 = 343 : PATTERNB9 = 9919 : PATTERNC9 = 3249 : COUNT = 57
CUBE = 195112 : PATTERNA2 = 512 : PATTERNB7 = 10267 : PATTERNC4 = 3364 : COUNT = 58
CUBE = 205379 : PATTERNA9 = 729 : PATTERNB1 = 10621 : PATTERNC1 = 3481 : COUNT = 59
CUBE = 216000 : PATTERNA0 = 0 : PATTERNB1 = 10981 : PATTERNC0 = 3600 : COUNT = 60
CUBE = 226981 : PATTERNA1 = 1 : PATTERNB7 = 11347 : PATTERNC1 = 3721 : COUNT = 61
CUBE = 238328 : PATTERNA8 = 8 : PATTERNB9 = 11719 : PATTERNC4 = 3844 : COUNT = 62
CUBE = 250047 : PATTERNA7 = 27 : PATTERNB7 = 12097 : PATTERNC9 = 3969 : COUNT = 63
CUBE = 262144 : PATTERNA4 = 64 : PATTERNB1 = 12481 : PATTERNC6 = 4096 : COUNT = 64
CUBE = 274625 : PATTERNA5 = 125 : PATTERNB1 = 12871 : PATTERNC5 = 4225 : COUNT = 65
CUBE = 287496 : PATTERNA6 = 216 : PATTERNB7 = 13267 : PATTERNC6 = 4356 : COUNT = 66
CUBE = 300763 : PATTERNA3 = 343 : PATTERNB9 = 13669 : PATTERNC9 = 4489 : COUNT = 67
CUBE = 314432 : PATTERNA2 = 512 : PATTERNB7 = 14077 : PATTERNC4 = 4624 : COUNT = 68
CUBE = 328509 : PATTERNA9 = 729 : PATTERNB1 = 14491 : PATTERNC1 = 4761 : COUNT = 69
CUBE = 343000 : PATTERNA0 = 0 : PATTERNB1 = 14911 : PATTERNC0 = 4900 : COUNT = 70
CUBE = 357911 : PATTERNA1 = 1 : PATTERNB7 = 15337 : PATTERNC1 = 5041 : COUNT = 71
CUBE = 373248 : PATTERNA8 = 8 : PATTERNB9 = 15769 : PATTERNC4 = 5184 : COUNT = 72
CUBE = 389017 : PATTERNA7 = 27 : PATTERNB7 = 16207 : PATTERNC9 = 5329 : COUNT = 73
CUBE = 405224 : PATTERNA4 = 64 : PATTERNB1 = 16651 : PATTERNC6 = 5476 : COUNT = 74
CUBE = 421875 : PATTERNA5 = 125 : PATTERNB1 = 17101 : PATTERNC5 = 5625 : COUNT = 75
CUBE = 438976 : PATTERNA6 = 216 : PATTERNB7 = 17557 : PATTERNC6 = 5776 : COUNT = 76
CUBE = 456533 : PATTERNA3 = 343 : PATTERNB9 = 18019 : PATTERNC9 = 5929 : COUNT = 77
CUBE = 474552 : PATTERNA2 = 512 : PATTERNB7 = 18487 : PATTERNC4 = 6084 : COUNT = 78
CUBE = 493039 : PATTERNA9 = 729 : PATTERNB1 = 18961 : PATTERNC1 = 6241 : COUNT = 79
CUBE = 512000 : PATTERNA0 = 0 : PATTERNB1 = 19441 : PATTERNC0 = 6400 : COUNT = 80
CUBE = 531441 : PATTERNA1 = 1 : PATTERNB7 = 19927 : PATTERNC1 = 6561 : COUNT = 81
CUBE = 551368 : PATTERNA8 = 8 : PATTERNB9 = 20419 : PATTERNC4 = 6724 : COUNT = 82
CUBE = 571787 : PATTERNA7 = 27 : PATTERNB7 = 20917 : PATTERNC9 = 6889 : COUNT = 83
CUBE = 592704 : PATTERNA4 = 64 : PATTERNB1 = 21421 : PATTERNC6 = 7056 : COUNT = 84
CUBE = 614125 : PATTERNA5 = 125 : PATTERNB1 = 21931 : PATTERNC5 = 7225 : COUNT = 85
CUBE = 636056 : PATTERNA6 = 216 : PATTERNB7 = 22447 : PATTERNC6 = 7396 : COUNT = 86
CUBE = 658503 : PATTERNA3 = 343 : PATTERNB9 = 22969 : PATTERNC9 = 7569 : COUNT = 87
CUBE = 681472 : PATTERNA2 = 512 : PATTERNB7 = 23497 : PATTERNC4 = 7744 : COUNT = 88
CUBE = 704969 : PATTERNA9 = 729 : PATTERNB1 = 24031 : PATTERNC1 = 7921 : COUNT = 89
CUBE = 729000 : PATTERNA0 = 0 : PATTERNB1 = 24571 : PATTERNC0 = 8100 : COUNT = 90
CUBE = 753571 : PATTERNA1 = 1 : PATTERNB7 = 25117 : PATTERNC1 = 8281 : COUNT = 91
CUBE = 778688 : PATTERNA8 = 8 : PATTERNB9 = 25669 : PATTERNC4 = 8464 : COUNT = 92
CUBE = 804357 : PATTERNA7 = 27 : PATTERNB7 = 26227 : PATTERNC9 = 8649 : COUNT = 93
CUBE = 830584 : PATTERNA4 = 64 : PATTERNB1 = 26791 : PATTERNC6 = 8836 : COUNT = 94
CUBE = 857375 : PATTERNA5 = 125 : PATTERNB1 = 27361 : PATTERNC5 = 9025 : COUNT = 95
CUBE = 884736 : PATTERNA6 = 216 : PATTERNB7 = 27937 : PATTERNC6 = 9216 : COUNT = 96
CUBE = 912673 : PATTERNA3 = 343 : PATTERNB9 = 28519 : PATTERNC9 = 9409 : COUNT = 97
CUBE = 941192 : PATTERNA2 = 512 : PATTERNB7 = 29107 : PATTERNC4 = 9604 : COUNT = 98
CUBE = 970299 : PATTERNA9 = 729 : PATTERNB1 = 29701 : PATTERNC1 = 9801 : COUNT = 99
CUBE = 1000000 : PATTERNA0 = 0 : PATTERNB1 = 30301 : PATTERNC0 = 10000 : COUNT = 100
CUBE = 1030301 : PATTERNA1 = 1 : PATTERNB7 = 30907 : PATTERNC1 = 10201 : COUNT = 101
CUBE = 1061208 : PATTERNA8 = 8 : PATTERNB9 = 31519 : PATTERNC4 = 10404 : COUNT = 102
CUBE = 1092727 : PATTERNA7 = 27 : PATTERNB7 = 32137 : PATTERNC9 = 10609 : COUNT = 103
CUBE = 1124864 : PATTERNA4 = 64 : PATTERNB1 = 32761 : PATTERNC6 = 10816 : COUNT = 104
CUBE = 1157625 : PATTERNA5 = 125 : PATTERNB1 = 33391 : PATTERNC5 = 11025 : COUNT = 105
CUBE = 1191016 : PATTERNA6 = 216 : PATTERNB7 = 34027 : PATTERNC6 = 11236 : COUNT = 106
CUBE = 1225043 : PATTERNA3 = 343 : PATTERNB9 = 34669 : PATTERNC9 = 11449 : COUNT = 107
CUBE = 1259712 : PATTERNA2 = 512 : PATTERNB7 = 35317 : PATTERNC4 = 11664 : COUNT = 108
CUBE = 1295029 : PATTERNA9 = 729 : PATTERNB1 = 35971 : PATTERNC1 = 11881 : COUNT = 109
CUBE = 1331000 : PATTERNA0 = 0 : PATTERNB1 = 36631 : PATTERNC0 = 12100 : COUNT = 110
CUBE = 1367631 : PATTERNA1 = 1 : PATTERNB7 = 37297 : PATTERNC1 = 12321 : COUNT = 111
CUBE = 1404928 : PATTERNA8 = 8 : PATTERNB9 = 37969 : PATTERNC4 = 12544 : COUNT = 112
CUBE = 1442897 : PATTERNA7 = 27 : PATTERNB7 = 38647 : PATTERNC9 = 12769 : COUNT = 113
CUBE = 1481544 : PATTERNA4 = 64 : PATTERNB1 = 39331 : PATTERNC6 = 12996 : COUNT = 114
CUBE = 1520875 : PATTERNA5 = 125 : PATTERNB1 = 40021 : PATTERNC5 = 13225 : COUNT = 115
CUBE = 1560896 : PATTERNA6 = 216 : PATTERNB7 = 40717 : PATTERNC6 = 13456 : COUNT = 116
CUBE = 1601613 : PATTERNA3 = 343 : PATTERNB9 = 41419 : PATTERNC9 = 13689 : COUNT = 117
CUBE = 1643032 : PATTERNA2 = 512 : PATTERNB7 = 42127 : PATTERNC4 = 13924 : COUNT = 118
CUBE = 1685159 : PATTERNA9 = 729 : PATTERNB1 = 42841 : PATTERNC1 = 14161 : COUNT = 119
CUBE = 1728000 : PATTERNA0 = 0 : PATTERNB1 = 43561 : PATTERNC0 = 14400 : COUNT = 120
CUBE = 1771561 : PATTERNA1 = 1 : PATTERNB7 = 44287 : PATTERNC1 = 14641 : COUNT = 121
CUBE = 1815848 : PATTERNA8 = 8 : PATTERNB9 = 45019 : PATTERNC4 = 14884 : COUNT = 122
CUBE = 1860867 : PATTERNA7 = 27 : PATTERNB7 = 45757 : PATTERNC9 = 15129 : COUNT = 123
CUBE = 1906624 : PATTERNA4 = 64 : PATTERNB1 = 46501 : PATTERNC6 = 15376 : COUNT = 124
CUBE = 1953125 : PATTERNA5 = 125 : PATTERNB1 = 47251 : PATTERNC5 = 15625 : COUNT = 125
CUBE = 2000376 : PATTERNA6 = 216 : PATTERNB7 = 48007 : PATTERNC6 = 15876 : COUNT = 126
CUBE = 2048383 : PATTERNA3 = 343 : PATTERNB9 = 48769 : PATTERNC9 = 16129 : COUNT = 127
CUBE = 2097152 : PATTERNA2 = 512 : PATTERNB7 = 49537 : PATTERNC4 = 16384 : COUNT = 128
CUBE = 2146689 : PATTERNA9 = 729 : PATTERNB1 = 50311 : PATTERNC1 = 16641 : COUNT = 129
CUBE = 2197000 : PATTERNA0 = 0 : PATTERNB1 = 51091 : PATTERNC0 = 16900 : COUNT = 130
CUBE = 2248091 : PATTERNA1 = 1 : PATTERNB7 = 51877 : PATTERNC1 = 17161 : COUNT = 131
CUBE = 2299968 : PATTERNA8 = 8 : PATTERNB9 = 52669 : PATTERNC4 = 17424 : COUNT = 132
CUBE = 2352637 : PATTERNA7 = 27 : PATTERNB7 = 53467 : PATTERNC9 = 17689 : COUNT = 133
CUBE = 2406104 : PATTERNA4 = 64 : PATTERNB1 = 54271 : PATTERNC6 = 17956 : COUNT = 134
CUBE = 2460375 : PATTERNA5 = 125 : PATTERNB1 = 55081 : PATTERNC5 = 18225 : COUNT = 135
CUBE = 2515456 : PATTERNA6 = 216 : PATTERNB7 = 55897 : PATTERNC6 = 18496 : COUNT = 136
CUBE = 2571353 : PATTERNA3 = 343 : PATTERNB9 = 56719 : PATTERNC9 = 18769 : COUNT = 137
CUBE = 2628072 : PATTERNA2 = 512 : PATTERNB7 = 57547 : PATTERNC4 = 19044 : COUNT = 138
CUBE = 2685619 : PATTERNA9 = 729 : PATTERNB1 = 58381 : PATTERNC1 = 19321 : COUNT = 139
CUBE = 2744000 : PATTERNA0 = 0 : PATTERNB1 = 59221 : PATTERNC0 = 19600 : COUNT = 140
CUBE = 2803221 : PATTERNA1 = 1 : PATTERNB7 = 60067 : PATTERNC1 = 19881 : COUNT = 141
CUBE = 2863288 : PATTERNA8 = 8 : PATTERNB9 = 60919 : PATTERNC4 = 20164 : COUNT = 142
CUBE = 2924207 : PATTERNA7 = 27 : PATTERNB7 = 61777 : PATTERNC9 = 20449 : COUNT = 143
CUBE = 2985984 : PATTERNA4 = 64 : PATTERNB1 = 62641 : PATTERNC6 = 20736 : COUNT = 144
CUBE = 3048625 : PATTERNA5 = 125 : PATTERNB1 = 63511 : PATTERNC5 = 21025 : COUNT = 145
CUBE = 3112136 : PATTERNA6 = 216 : PATTERNB7 = 64387 : PATTERNC6 = 21316 : COUNT = 146
CUBE = 3176523 : PATTERNA3 = 343 : PATTERNB9 = 65269 : PATTERNC9 = 21609 : COUNT = 147
CUBE = 3241792 : PATTERNA2 = 512 : PATTERNB7 = 66157 : PATTERNC4 = 21904 : COUNT = 148
CUBE = 3307949 : PATTERNA9 = 729 : PATTERNB1 = 67051 : PATTERNC1 = 22201 : COUNT = 149
CUBE = 3375000 : PATTERNA0 = 0 : PATTERNB1 = 67951 : PATTERNC0 = 22500 : COUNT = 150
CUBE = 3442951 : PATTERNA1 = 1 : PATTERNB7 = 68857 : PATTERNC1 = 22801 : COUNT = 151
CUBE = 3511808 : PATTERNA8 = 8 : PATTERNB9 = 69769 : PATTERNC4 = 23104 : COUNT = 152
CUBE = 3581577 : PATTERNA7 = 27 : PATTERNB7 = 70687 : PATTERNC9 = 23409 : COUNT = 153
CUBE = 3652264 : PATTERNA4 = 64 : PATTERNB1 = 71611 : PATTERNC6 = 23716 : COUNT = 154
CUBE = 3723875 : PATTERNA5 = 125 : PATTERNB1 = 72541 : PATTERNC5 = 24025 : COUNT = 155
CUBE = 3796416 : PATTERNA6 = 216 : PATTERNB7 = 73477 : PATTERNC6 = 24336 : COUNT = 156
CUBE = 3869893 : PATTERNA3 = 343 : PATTERNB9 = 74419 : PATTERNC9 = 24649 : COUNT = 157
CUBE = 3944312 : PATTERNA2 = 512 : PATTERNB7 = 75367 : PATTERNC4 = 24964 : COUNT = 158
CUBE = 4019679 : PATTERNA9 = 729 : PATTERNB1 = 76321 : PATTERNC1 = 25281 : COUNT = 159
CUBE = 4096000 : PATTERNA0 = 0 : PATTERNB1 = 77281 : PATTERNC0 = 25600 : COUNT = 160
CUBE = 4173281 : PATTERNA1 = 1 : PATTERNB7 = 78247 : PATTERNC1 = 25921 : COUNT = 161
CUBE = 4251528 : PATTERNA8 = 8 : PATTERNB9 = 79219 : PATTERNC4 = 26244 : COUNT = 162
CUBE = 4330747 : PATTERNA7 = 27 : PATTERNB7 = 80197 : PATTERNC9 = 26569 : COUNT = 163
CUBE = 4410944 : PATTERNA4 = 64 : PATTERNB1 = 81181 : PATTERNC6 = 26896 : COUNT = 164
CUBE = 4492125 : PATTERNA5 = 125 : PATTERNB1 = 82171 : PATTERNC5 = 27225 : COUNT = 165
CUBE = 4574296 : PATTERNA6 = 216 : PATTERNB7 = 83167 : PATTERNC6 = 27556 : COUNT = 166
CUBE = 4657463 : PATTERNA3 = 343 : PATTERNB9 = 84169 : PATTERNC9 = 27889 : COUNT = 167
CUBE = 4741632 : PATTERNA2 = 512 : PATTERNB7 = 85177 : PATTERNC4 = 28224 : COUNT = 168
CUBE = 4826809 : PATTERNA9 = 729 : PATTERNB1 = 86191 : PATTERNC1 = 28561 : COUNT = 169
CUBE = 4913000 : PATTERNA0 = 0 : PATTERNB1 = 87211 : PATTERNC0 = 28900 : COUNT = 170
CUBE = 5000211 : PATTERNA1 = 1 : PATTERNB7 = 88237 : PATTERNC1 = 29241 : COUNT = 171
CUBE = 5088448 : PATTERNA8 = 8 : PATTERNB9 = 89269 : PATTERNC4 = 29584 : COUNT = 172
CUBE = 5177717 : PATTERNA7 = 27 : PATTERNB7 = 90307 : PATTERNC9 = 29929 : COUNT = 173
CUBE = 5268024 : PATTERNA4 = 64 : PATTERNB1 = 91351 : PATTERNC6 = 30276 : COUNT = 174
CUBE = 5359375 : PATTERNA5 = 125 : PATTERNB1 = 92401 : PATTERNC5 = 30625 : COUNT = 175
CUBE = 5451776 : PATTERNA6 = 216 : PATTERNB7 = 93457 : PATTERNC6 = 30976 : COUNT = 176
CUBE = 5545233 : PATTERNA3 = 343 : PATTERNB9 = 94519 : PATTERNC9 = 31329 : COUNT = 177
CUBE = 5639752 : PATTERNA2 = 512 : PATTERNB7 = 95587 : PATTERNC4 = 31684 : COUNT = 178
CUBE = 5735339 : PATTERNA9 = 729 : PATTERNB1 = 96661 : PATTERNC1 = 32041 : COUNT = 179
CUBE = 5832000 : PATTERNA0 = 0 : PATTERNB1 = 97741 : PATTERNC0 = 32400 : COUNT = 180
CUBE = 5929741 : PATTERNA1 = 1 : PATTERNB7 = 98827 : PATTERNC1 = 32761 : COUNT = 181
CUBE = 6028568 : PATTERNA8 = 8 : PATTERNB9 = 99919 : PATTERNC4 = 33124 : COUNT = 182
CUBE = 6128487 : PATTERNA7 = 27 : PATTERNB7 = 101017 : PATTERNC9 = 33489 : COUNT = 183
CUBE = 6229504 : PATTERNA4 = 64 : PATTERNB1 = 102121 : PATTERNC6 = 33856 : COUNT = 184
CUBE = 6331625 : PATTERNA5 = 125 : PATTERNB1 = 103231 : PATTERNC5 = 34225 : COUNT = 185
CUBE = 6434856 : PATTERNA6 = 216 : PATTERNB7 = 104347 : PATTERNC6 = 34596 : COUNT = 186
CUBE = 6539203 : PATTERNA3 = 343 : PATTERNB9 = 105469 : PATTERNC9 = 34969 : COUNT = 187
CUBE = 6644672 : PATTERNA2 = 512 : PATTERNB7 = 106597 : PATTERNC4 = 35344 : COUNT = 188
CUBE = 6751269 : PATTERNA9 = 729 : PATTERNB1 = 107731 : PATTERNC1 = 35721 : COUNT = 189
CUBE = 6859000 : PATTERNA0 = 0 : PATTERNB1 = 108871 : PATTERNC0 = 36100 : COUNT = 190
CUBE = 6967871 : PATTERNA1 = 1 : PATTERNB7 = 110017 : PATTERNC1 = 36481 : COUNT = 191
CUBE = 7077888 : PATTERNA8 = 8 : PATTERNB9 = 111169 : PATTERNC4 = 36864 : COUNT = 192
CUBE = 7189057 : PATTERNA7 = 27 : PATTERNB7 = 112327 : PATTERNC9 = 37249 : COUNT = 193
CUBE = 7301384 : PATTERNA4 = 64 : PATTERNB1 = 113491 : PATTERNC6 = 37636 : COUNT = 194
CUBE = 7414875 : PATTERNA5 = 125 : PATTERNB1 = 114661 : PATTERNC5 = 38025 : COUNT = 195
CUBE = 7529536 : PATTERNA6 = 216 : PATTERNB7 = 115837 : PATTERNC6 = 38416 : COUNT = 196
CUBE = 7645373 : PATTERNA3 = 343 : PATTERNB9 = 117019 : PATTERNC9 = 38809 : COUNT = 197
CUBE = 7762392 : PATTERNA2 = 512 : PATTERNB7 = 118207 : PATTERNC4 = 39204 : COUNT = 198
CUBE = 7880599 : PATTERNA9 = 729 : PATTERNB1 = 119401 : PATTERNC1 = 39601 : COUNT = 199
CUBE = 8000000 : PATTERNA0 = 0 : PATTERNB1 = 120601 : PATTERNC0 = 40000 : COUNT = 200
CUBE = 8120601 : PATTERNA1 = 1 : PATTERNB7 = 121807 : PATTERNC1 = 40401 : COUNT = 201
CUBE = 8242408 : PATTERNA8 = 8 : PATTERNB9 = 123019 : PATTERNC4 = 40804 : COUNT = 202
CUBE = 8365427 : PATTERNA7 = 27 : PATTERNB7 = 124237 : PATTERNC9 = 41209 : COUNT = 203
CUBE = 8489664 : PATTERNA4 = 64 : PATTERNB1 = 125461 : PATTERNC6 = 41616 : COUNT = 204
CUBE = 8615125 : PATTERNA5 = 125 : PATTERNB1 = 126691 : PATTERNC5 = 42025 : COUNT = 205
CUBE = 8741816 : PATTERNA6 = 216 : PATTERNB7 = 127927 : PATTERNC6 = 42436 : COUNT = 206
CUBE = 8869743 : PATTERNA3 = 343 : PATTERNB9 = 129169 : PATTERNC9 = 42849 : COUNT = 207
CUBE = 8998912 : PATTERNA2 = 512 : PATTERNB7 = 130417 : PATTERNC4 = 43264 : COUNT = 208
CUBE = 9129329 : PATTERNA9 = 729 : PATTERNB1 = 131671 : PATTERNC1 = 43681 : COUNT = 209
CUBE = 9261000 : PATTERNA0 = 0 : PATTERNB1 = 132931 : PATTERNC0 = 44100 : COUNT = 210
CUBE = 9393931 : PATTERNA1 = 1 : PATTERNB7 = 134197 : PATTERNC1 = 44521 : COUNT = 211
CUBE = 9528128 : PATTERNA8 = 8 : PATTERNB9 = 135469 : PATTERNC4 = 44944 : COUNT = 212
CUBE = 9663597 : PATTERNA7 = 27 : PATTERNB7 = 136747 : PATTERNC9 = 45369 : COUNT = 213
CUBE = 9800344 : PATTERNA4 = 64 : PATTERNB1 = 138031 : PATTERNC6 = 45796 : COUNT = 214
CUBE = 9938375 : PATTERNA5 = 125 : PATTERNB1 = 139321 : PATTERNC5 = 46225 : COUNT = 215
CUBE = 10077696 : PATTERNA6 = 216 : PATTERNB7 = 140617 : PATTERNC6 = 46656 : COUNT = 216
CUBE = 10218313 : PATTERNA3 = 343 : PATTERNB9 = 141919 : PATTERNC9 = 47089 : COUNT = 217
CUBE = 10360232 : PATTERNA2 = 512 : PATTERNB7 = 143227 : PATTERNC4 = 47524 : COUNT = 218
CUBE = 10503459 : PATTERNA9 = 729 : PATTERNB1 = 144541 : PATTERNC1 = 47961 : COUNT = 219
CUBE = 10648000 : PATTERNA0 = 0 : PATTERNB1 = 145861 : PATTERNC0 = 48400 : COUNT = 220
CUBE = 10793861 : PATTERNA1 = 1 : PATTERNB7 = 147187 : PATTERNC1 = 48841 : COUNT = 221
CUBE = 10941048 : PATTERNA8 = 8 : PATTERNB9 = 148519 : PATTERNC4 = 49284 : COUNT = 222
CUBE = 11089567 : PATTERNA7 = 27 : PATTERNB7 = 149857 : PATTERNC9 = 49729 : COUNT = 223
CUBE = 11239424 : PATTERNA4 = 64 : PATTERNB1 = 151201 : PATTERNC6 = 50176 : COUNT = 224
CUBE = 11390625 : PATTERNA5 = 125 : PATTERNB1 = 152551 : PATTERNC5 = 50625 : COUNT = 225
CUBE = 11543176 : PATTERNA6 = 216 : PATTERNB7 = 153907 : PATTERNC6 = 51076 : COUNT = 226
CUBE = 11697083 : PATTERNA3 = 343 : PATTERNB9 = 155269 : PATTERNC9 = 51529 : COUNT = 227
CUBE = 11852352 : PATTERNA2 = 512 : PATTERNB7 = 156637 : PATTERNC4 = 51984 : COUNT = 228
CUBE = 12008989 : PATTERNA9 = 729 : PATTERNB1 = 158011 : PATTERNC1 = 52441 : COUNT = 229
CUBE = 12167000 : PATTERNA0 = 0 : PATTERNB1 = 159391 : PATTERNC0 = 52900 : COUNT = 230
CUBE = 12326391 : PATTERNA1 = 1 : PATTERNB7 = 160777 : PATTERNC1 = 53361 : COUNT = 231
CUBE = 12487168 : PATTERNA8 = 8 : PATTERNB9 = 162169 : PATTERNC4 = 53824 : COUNT = 232
CUBE = 12649337 : PATTERNA7 = 27 : PATTERNB7 = 163567 : PATTERNC9 = 54289 : COUNT = 233
CUBE = 12812904 : PATTERNA4 = 64 : PATTERNB1 = 164971 : PATTERNC6 = 54756 : COUNT = 234
CUBE = 12977875 : PATTERNA5 = 125 : PATTERNB1 = 166381 : PATTERNC5 = 55225 : COUNT = 235
CUBE = 13144256 : PATTERNA6 = 216 : PATTERNB7 = 167797 : PATTERNC6 = 55696 : COUNT = 236
CUBE = 13312053 : PATTERNA3 = 343 : PATTERNB9 = 169219 : PATTERNC9 = 56169 : COUNT = 237
CUBE = 13481272 : PATTERNA2 = 512 : PATTERNB7 = 170647 : PATTERNC4 = 56644 : COUNT = 238
CUBE = 13651919 : PATTERNA9 = 729 : PATTERNB1 = 172081 : PATTERNC1 = 57121 : COUNT = 239
CUBE = 13824000 : PATTERNA0 = 0 : PATTERNB1 = 173521 : PATTERNC0 = 57600 : COUNT = 240
CUBE = 13997521 : PATTERNA1 = 1 : PATTERNB7 = 174967 : PATTERNC1 = 58081 : COUNT = 241
CUBE = 14172488 : PATTERNA8 = 8 : PATTERNB9 = 176419 : PATTERNC4 = 58564 : COUNT = 242
CUBE = 14348907 : PATTERNA7 = 27 : PATTERNB7 = 177877 : PATTERNC9 = 59049 : COUNT = 243
CUBE = 14526784 : PATTERNA4 = 64 : PATTERNB1 = 179341 : PATTERNC6 = 59536 : COUNT = 244
CUBE = 14706125 : PATTERNA5 = 125 : PATTERNB1 = 180811 : PATTERNC5 = 60025 : COUNT = 245
CUBE = 14886936 : PATTERNA6 = 216 : PATTERNB7 = 182287 : PATTERNC6 = 60516 : COUNT = 246
CUBE = 15069223 : PATTERNA3 = 343 : PATTERNB9 = 183769 : PATTERNC9 = 61009 : COUNT = 247
CUBE = 15252992 : PATTERNA2 = 512 : PATTERNB7 = 185257 : PATTERNC4 = 61504 : COUNT = 248
CUBE = 15438249 : PATTERNA9 = 729 : PATTERNB1 = 186751 : PATTERNC1 = 62001 : COUNT = 249
CUBE = 15625000 : PATTERNA0 = 0 : PATTERNB1 = 188251 : PATTERNC0 = 62500 : COUNT = 250
CUBE = 15813251 : PATTERNA1 = 1 : PATTERNB7 = 189757 : PATTERNC1 = 63001 : COUNT = 251
CUBE = 16003008 : PATTERNA8 = 8 : PATTERNB9 = 191269 : PATTERNC4 = 63504 : COUNT = 252
CUBE = 16194277 : PATTERNA7 = 27 : PATTERNB7 = 192787 : PATTERNC9 = 64009 : COUNT = 253
CUBE = 16387064 : PATTERNA4 = 64 : PATTERNB1 = 194311 : PATTERNC6 = 64516 : COUNT = 254
CUBE = 16581375 : PATTERNA5 = 125 : PATTERNB1 = 195841 : PATTERNC5 = 65025 : COUNT = 255
CUBE = 16777216 : PATTERNA6 = 216 : PATTERNB7 = 197377 : PATTERNC6 = 65536 : COUNT = 256
CUBE = 16974593 : PATTERNA3 = 343 : PATTERNB9 = 198919 : PATTERNC9 = 66049 : COUNT = 257
CUBE = 17173512 : PATTERNA2 = 512 : PATTERNB7 = 200467 : PATTERNC4 = 66564 : COUNT = 258
CUBE = 17373979 : PATTERNA9 = 729 : PATTERNB1 = 202021 : PATTERNC1 = 67081 : COUNT = 259
CUBE = 17576000 : PATTERNA0 = 0 : PATTERNB1 = 203581 : PATTERNC0 = 67600 : COUNT = 260
CUBE = 17779581 : PATTERNA1 = 1 : PATTERNB7 = 205147 : PATTERNC1 = 68121 : COUNT = 261
CUBE = 17984728 : PATTERNA8 = 8 : PATTERNB9 = 206719 : PATTERNC4 = 68644 : COUNT = 262
CUBE = 18191447 : PATTERNA7 = 27 : PATTERNB7 = 208297 : PATTERNC9 = 69169 : COUNT = 263
CUBE = 18399744 : PATTERNA4 = 64 : PATTERNB1 = 209881 : PATTERNC6 = 69696 : COUNT = 264
CUBE = 18609625 : PATTERNA5 = 125 : PATTERNB1 = 211471 : PATTERNC5 = 70225 : COUNT = 265
CUBE = 18821096 : PATTERNA6 = 216 : PATTERNB7 = 213067 : PATTERNC6 = 70756 : COUNT = 266
CUBE = 19034163 : PATTERNA3 = 343 : PATTERNB9 = 214669 : PATTERNC9 = 71289 : COUNT = 267
CUBE = 19248832 : PATTERNA2 = 512 : PATTERNB7 = 216277 : PATTERNC4 = 71824 : COUNT = 268
CUBE = 19465109 : PATTERNA9 = 729 : PATTERNB1 = 217891 : PATTERNC1 = 72361 : COUNT = 269
CUBE = 19683000 : PATTERNA0 = 0 : PATTERNB1 = 219511 : PATTERNC0 = 72900 : COUNT = 270
CUBE = 19902511 : PATTERNA1 = 1 : PATTERNB7 = 221137 : PATTERNC1 = 73441 : COUNT = 271
CUBE = 20123648 : PATTERNA8 = 8 : PATTERNB9 = 222769 : PATTERNC4 = 73984 : COUNT = 272
CUBE = 20346417 : PATTERNA7 = 27 : PATTERNB7 = 224407 : PATTERNC9 = 74529 : COUNT = 273
CUBE = 20570824 : PATTERNA4 = 64 : PATTERNB1 = 226051 : PATTERNC6 = 75076 : COUNT = 274
CUBE = 20796875 : PATTERNA5 = 125 : PATTERNB1 = 227701 : PATTERNC5 = 75625 : COUNT = 275
CUBE = 21024576 : PATTERNA6 = 216 : PATTERNB7 = 229357 : PATTERNC6 = 76176 : COUNT = 276
CUBE = 21253933 : PATTERNA3 = 343 : PATTERNB9 = 231019 : PATTERNC9 = 76729 : COUNT = 277
CUBE = 21484952 : PATTERNA2 = 512 : PATTERNB7 = 232687 : PATTERNC4 = 77284 : COUNT = 278
CUBE = 21717639 : PATTERNA9 = 729 : PATTERNB1 = 234361 : PATTERNC1 = 77841 : COUNT = 279
CUBE = 21952000 : PATTERNA0 = 0 : PATTERNB1 = 236041 : PATTERNC0 = 78400 : COUNT = 280
CUBE = 22188041 : PATTERNA1 = 1 : PATTERNB7 = 237727 : PATTERNC1 = 78961 : COUNT = 281
CUBE = 22425768 : PATTERNA8 = 8 : PATTERNB9 = 239419 : PATTERNC4 = 79524 : COUNT = 282
CUBE = 22665187 : PATTERNA7 = 27 : PATTERNB7 = 241117 : PATTERNC9 = 80089 : COUNT = 283
CUBE = 22906304 : PATTERNA4 = 64 : PATTERNB1 = 242821 : PATTERNC6 = 80656 : COUNT = 284
CUBE = 23149125 : PATTERNA5 = 125 : PATTERNB1 = 244531 : PATTERNC5 = 81225 : COUNT = 285
CUBE = 23393656 : PATTERNA6 = 216 : PATTERNB7 = 246247 : PATTERNC6 = 81796 : COUNT = 286
CUBE = 23639903 : PATTERNA3 = 343 : PATTERNB9 = 247969 : PATTERNC9 = 82369 : COUNT = 287
CUBE = 23887872 : PATTERNA2 = 512 : PATTERNB7 = 249697 : PATTERNC4 = 82944 : COUNT = 288
CUBE = 24137569 : PATTERNA9 = 729 : PATTERNB1 = 251431 : PATTERNC1 = 83521 : COUNT = 289
CUBE = 24389000 : PATTERNA0 = 0 : PATTERNB1 = 253171 : PATTERNC0 = 84100 : COUNT = 290
CUBE = 24642171 : PATTERNA1 = 1 : PATTERNB7 = 254917 : PATTERNC1 = 84681 : COUNT = 291
CUBE = 24897088 : PATTERNA8 = 8 : PATTERNB9 = 256669 : PATTERNC4 = 85264 : COUNT = 292
CUBE = 25153757 : PATTERNA7 = 27 : PATTERNB7 = 258427 : PATTERNC9 = 85849 : COUNT = 293
CUBE = 25412184 : PATTERNA4 = 64 : PATTERNB1 = 260191 : PATTERNC6 = 86436 : COUNT = 294
CUBE = 25672375 : PATTERNA5 = 125 : PATTERNB1 = 261961 : PATTERNC5 = 87025 : COUNT = 295
CUBE = 25934336 : PATTERNA6 = 216 : PATTERNB7 = 263737 : PATTERNC6 = 87616 : COUNT = 296
CUBE = 26198073 : PATTERNA3 = 343 : PATTERNB9 = 265519 : PATTERNC9 = 88209 : COUNT = 297
CUBE = 26463592 : PATTERNA2 = 512 : PATTERNB7 = 267307 : PATTERNC4 = 88804 : COUNT = 298
CUBE = 26730899 : PATTERNA9 = 729 : PATTERNB1 = 269101 : PATTERNC1 = 89401 : COUNT = 299
CUBE = 27000000 : PATTERNA0 = 0 : PATTERNB1 = 270901 : PATTERNC0 = 90000 : COUNT = 300
CUBE = 27270901 : PATTERNA1 = 1 : PATTERNB7 = 272707 : PATTERNC1 = 90601 : COUNT = 301
CUBE = 27543608 : PATTERNA8 = 8 : PATTERNB9 = 274519 : PATTERNC4 = 91204 : COUNT = 302
CUBE = 27818127 : PATTERNA7 = 27 : PATTERNB7 = 276337 : PATTERNC9 = 91809 : COUNT = 303
CUBE = 28094464 : PATTERNA4 = 64 : PATTERNB1 = 278161 : PATTERNC6 = 92416 : COUNT = 304
CUBE = 28372625 : PATTERNA5 = 125 : PATTERNB1 = 279991 : PATTERNC5 = 93025 : COUNT = 305
CUBE = 28652616 : PATTERNA6 = 216 : PATTERNB7 = 281827 : PATTERNC6 = 93636 : COUNT = 306
CUBE = 28934443 : PATTERNA3 = 343 : PATTERNB9 = 283669 : PATTERNC9 = 94249 : COUNT = 307
CUBE = 29218112 : PATTERNA2 = 512 : PATTERNB7 = 285517 : PATTERNC4 = 94864 : COUNT = 308
CUBE = 29503629 : PATTERNA9 = 729 : PATTERNB1 = 287371 : PATTERNC1 = 95481 : COUNT = 309
CUBE = 29791000 : PATTERNA0 = 0 : PATTERNB1 = 289231 : PATTERNC0 = 96100 : COUNT = 310
CUBE = 30080231 : PATTERNA1 = 1 : PATTERNB7 = 291097 : PATTERNC1 = 96721 : COUNT = 311
CUBE = 30371328 : PATTERNA8 = 8 : PATTERNB9 = 292969 : PATTERNC4 = 97344 : COUNT = 312
CUBE = 30664297 : PATTERNA7 = 27 : PATTERNB7 = 294847 : PATTERNC9 = 97969 : COUNT = 313
CUBE = 30959144 : PATTERNA4 = 64 : PATTERNB1 = 296731 : PATTERNC6 = 98596 : COUNT = 314
CUBE = 31255875 : PATTERNA5 = 125 : PATTERNB1 = 298621 : PATTERNC5 = 99225 : COUNT = 315
CUBE = 31554496 : PATTERNA6 = 216 : PATTERNB7 = 300517 : PATTERNC6 = 99856 : COUNT = 316
CUBE = 31855013 : PATTERNA3 = 343 : PATTERNB9 = 302419 : PATTERNC9 = 100489 : COUNT = 317
CUBE = 32157432 : PATTERNA2 = 512 : PATTERNB7 = 304327 : PATTERNC4 = 101124 : COUNT = 318
CUBE = 32461759 : PATTERNA9 = 729 : PATTERNB1 = 306241 : PATTERNC1 = 101761 : COUNT = 319
CUBE = 32768000 : PATTERNA0 = 0 : PATTERNB1 = 308161 : PATTERNC0 = 102400 : COUNT = 320
CUBE = 33076161 : PATTERNA1 = 1 : PATTERNB7 = 310087 : PATTERNC1 = 103041 : COUNT = 321
CUBE = 33386248 : PATTERNA8 = 8 : PATTERNB9 = 312019 : PATTERNC4 = 103684 : COUNT = 322
CUBE = 33698267 : PATTERNA7 = 27 : PATTERNB7 = 313957 : PATTERNC9 = 104329 : COUNT = 323
CUBE = 34012224 : PATTERNA4 = 64 : PATTERNB1 = 315901 : PATTERNC6 = 104976 : COUNT = 324
CUBE = 34328125 : PATTERNA5 = 125 : PATTERNB1 = 317851 : PATTERNC5 = 105625 : COUNT = 325
CUBE = 34645976 : PATTERNA6 = 216 : PATTERNB7 = 319807 : PATTERNC6 = 106276 : COUNT = 326
CUBE = 34965783 : PATTERNA3 = 343 : PATTERNB9 = 321769 : PATTERNC9 = 106929 : COUNT = 327
CUBE = 35287552 : PATTERNA2 = 512 : PATTERNB7 = 323737 : PATTERNC4 = 107584 : COUNT = 328
CUBE = 35611289 : PATTERNA9 = 729 : PATTERNB1 = 325711 : PATTERNC1 = 108241 : COUNT = 329
CUBE = 35937000 : PATTERNA0 = 0 : PATTERNB1 = 327691 : PATTERNC0 = 108900 : COUNT = 330
CUBE = 36264691 : PATTERNA1 = 1 : PATTERNB7 = 329677 : PATTERNC1 = 109561 : COUNT = 331
CUBE = 36594368 : PATTERNA8 = 8 : PATTERNB9 = 331669 : PATTERNC4 = 110224 : COUNT = 332
CUBE = 36926037 : PATTERNA7 = 27 : PATTERNB7 = 333667 : PATTERNC9 = 110889 : COUNT = 333
CUBE = 37259704 : PATTERNA4 = 64 : PATTERNB1 = 335671 : PATTERNC6 = 111556 : COUNT = 334
CUBE = 37595375 : PATTERNA5 = 125 : PATTERNB1 = 337681 : PATTERNC5 = 112225 : COUNT = 335
CUBE = 37933056 : PATTERNA6 = 216 : PATTERNB7 = 339697 : PATTERNC6 = 112896 : COUNT = 336
CUBE = 38272753 : PATTERNA3 = 343 : PATTERNB9 = 341719 : PATTERNC9 = 113569 : COUNT = 337
CUBE = 38614472 : PATTERNA2 = 512 : PATTERNB7 = 343747 : PATTERNC4 = 114244 : COUNT = 338
CUBE = 38958219 : PATTERNA9 = 729 : PATTERNB1 = 345781 : PATTERNC1 = 114921 : COUNT = 339
CUBE = 39304000 : PATTERNA0 = 0 : PATTERNB1 = 347821 : PATTERNC0 = 115600 : COUNT = 340
CUBE = 39651821 : PATTERNA1 = 1 : PATTERNB7 = 349867 : PATTERNC1 = 116281 : COUNT = 341
CUBE = 40001688 : PATTERNA8 = 8 : PATTERNB9 = 351919 : PATTERNC4 = 116964 : COUNT = 342
CUBE = 40353607 : PATTERNA7 = 27 : PATTERNB7 = 353977 : PATTERNC9 = 117649 : COUNT = 343
CUBE = 40707584 : PATTERNA4 = 64 : PATTERNB1 = 356041 : PATTERNC6 = 118336 : COUNT = 344
CUBE = 41063625 : PATTERNA5 = 125 : PATTERNB1 = 358111 : PATTERNC5 = 119025 : COUNT = 345
CUBE = 41421736 : PATTERNA6 = 216 : PATTERNB7 = 360187 : PATTERNC6 = 119716 : COUNT = 346
CUBE = 41781923 : PATTERNA3 = 343 : PATTERNB9 = 362269 : PATTERNC9 = 120409 : COUNT = 347
CUBE = 42144192 : PATTERNA2 = 512 : PATTERNB7 = 364357 : PATTERNC4 = 121104 : COUNT = 348
CUBE = 42508549 : PATTERNA9 = 729 : PATTERNB1 = 366451 : PATTERNC1 = 121801 : COUNT = 349
CUBE = 42875000 : PATTERNA0 = 0 : PATTERNB1 = 368551 : PATTERNC0 = 122500 : COUNT = 350
CUBE = 43243551 : PATTERNA1 = 1 : PATTERNB7 = 370657 : PATTERNC1 = 123201 : COUNT = 351
CUBE = 43614208 : PATTERNA8 = 8 : PATTERNB9 = 372769 : PATTERNC4 = 123904 : COUNT = 352
CUBE = 43986977 : PATTERNA7 = 27 : PATTERNB7 = 374887 : PATTERNC9 = 124609 : COUNT = 353
CUBE = 44361864 : PATTERNA4 = 64 : PATTERNB1 = 377011 : PATTERNC6 = 125316 : COUNT = 354
CUBE = 44738875 : PATTERNA5 = 125 : PATTERNB1 = 379141 : PATTERNC5 = 126025 : COUNT = 355
CUBE = 45118016 : PATTERNA6 = 216 : PATTERNB7 = 381277 : PATTERNC6 = 126736 : COUNT = 356
CUBE = 45499293 : PATTERNA3 = 343 : PATTERNB9 = 383419 : PATTERNC9 = 127449 : COUNT = 357
CUBE = 45882712 : PATTERNA2 = 512 : PATTERNB7 = 385567 : PATTERNC4 = 128164 : COUNT = 358
CUBE = 46268279 : PATTERNA9 = 729 : PATTERNB1 = 387721 : PATTERNC1 = 128881 : COUNT = 359
CUBE = 46656000 : PATTERNA0 = 0 : PATTERNB1 = 389881 : PATTERNC0 = 129600 : COUNT = 360
CUBE = 47045881 : PATTERNA1 = 1 : PATTERNB7 = 392047 : PATTERNC1 = 130321 : COUNT = 361
CUBE = 47437928 : PATTERNA8 = 8 : PATTERNB9 = 394219 : PATTERNC4 = 131044 : COUNT = 362
CUBE = 47832147 : PATTERNA7 = 27 : PATTERNB7 = 396397 : PATTERNC9 = 131769 : COUNT = 363
CUBE = 48228544 : PATTERNA4 = 64 : PATTERNB1 = 398581 : PATTERNC6 = 132496 : COUNT = 364
CUBE = 48627125 : PATTERNA5 = 125 : PATTERNB1 = 400771 : PATTERNC5 = 133225 : COUNT = 365
CUBE = 49027896 : PATTERNA6 = 216 : PATTERNB7 = 402967 : PATTERNC6 = 133956 : COUNT = 366
CUBE = 49430863 : PATTERNA3 = 343 : PATTERNB9 = 405169 : PATTERNC9 = 134689 : COUNT = 367
CUBE = 49836032 : PATTERNA2 = 512 : PATTERNB7 = 407377 : PATTERNC4 = 135424 : COUNT = 368
CUBE = 50243409 : PATTERNA9 = 729 : PATTERNB1 = 409591 : PATTERNC1 = 136161 : COUNT = 369
CUBE = 50653000 : PATTERNA0 = 0 : PATTERNB1 = 411811 : PATTERNC0 = 136900 : COUNT = 370
CUBE = 51064811 : PATTERNA1 = 1 : PATTERNB7 = 414037 : PATTERNC1 = 137641 : COUNT = 371
CUBE = 51478848 : PATTERNA8 = 8 : PATTERNB9 = 416269 : PATTERNC4 = 138384 : COUNT = 372
CUBE = 51895117 : PATTERNA7 = 27 : PATTERNB7 = 418507 : PATTERNC9 = 139129 : COUNT = 373
CUBE = 52313624 : PATTERNA4 = 64 : PATTERNB1 = 420751 : PATTERNC6 = 139876 : COUNT = 374
CUBE = 52734375 : PATTERNA5 = 125 : PATTERNB1 = 423001 : PATTERNC5 = 140625 : COUNT = 375
CUBE = 53157376 : PATTERNA6 = 216 : PATTERNB7 = 425257 : PATTERNC6 = 141376 : COUNT = 376
CUBE = 53582633 : PATTERNA3 = 343 : PATTERNB9 = 427519 : PATTERNC9 = 142129 : COUNT = 377
CUBE = 54010152 : PATTERNA2 = 512 : PATTERNB7 = 429787 : PATTERNC4 = 142884 : COUNT = 378
CUBE = 54439939 : PATTERNA9 = 729 : PATTERNB1 = 432061 : PATTERNC1 = 143641 : COUNT = 379
CUBE = 54872000 : PATTERNA0 = 0 : PATTERNB1 = 434341 : PATTERNC0 = 144400 : COUNT = 380
CUBE = 55306341 : PATTERNA1 = 1 : PATTERNB7 = 436627 : PATTERNC1 = 145161 : COUNT = 381
CUBE = 55742968 : PATTERNA8 = 8 : PATTERNB9 = 438919 : PATTERNC4 = 145924 : COUNT = 382
CUBE = 56181887 : PATTERNA7 = 27 : PATTERNB7 = 441217 : PATTERNC9 = 146689 : COUNT = 383
CUBE = 56623104 : PATTERNA4 = 64 : PATTERNB1 = 443521 : PATTERNC6 = 147456 : COUNT = 384
CUBE = 57066625 : PATTERNA5 = 125 : PATTERNB1 = 445831 : PATTERNC5 = 148225 : COUNT = 385
CUBE = 57512456 : PATTERNA6 = 216 : PATTERNB7 = 448147 : PATTERNC6 = 148996 : COUNT = 386
CUBE = 57960603 : PATTERNA3 = 343 : PATTERNB9 = 450469 : PATTERNC9 = 149769 : COUNT = 387
CUBE = 58411072 : PATTERNA2 = 512 : PATTERNB7 = 452797 : PATTERNC4 = 150544 : COUNT = 388
CUBE = 58863869 : PATTERNA9 = 729 : PATTERNB1 = 455131 : PATTERNC1 = 151321 : COUNT = 389
CUBE = 59319000 : PATTERNA0 = 0 : PATTERNB1 = 457471 : PATTERNC0 = 152100 : COUNT = 390
CUBE = 59776471 : PATTERNA1 = 1 : PATTERNB7 = 459817 : PATTERNC1 = 152881 : COUNT = 391
CUBE = 60236288 : PATTERNA8 = 8 : PATTERNB9 = 462169 : PATTERNC4 = 153664 : COUNT = 392
CUBE = 60698457 : PATTERNA7 = 27 : PATTERNB7 = 464527 : PATTERNC9 = 154449 : COUNT = 393
CUBE = 61162984 : PATTERNA4 = 64 : PATTERNB1 = 466891 : PATTERNC6 = 155236 : COUNT = 394
CUBE = 61629875 : PATTERNA5 = 125 : PATTERNB1 = 469261 : PATTERNC5 = 156025 : COUNT = 395
CUBE = 62099136 : PATTERNA6 = 216 : PATTERNB7 = 471637 : PATTERNC6 = 156816 : COUNT = 396
CUBE = 62570773 : PATTERNA3 = 343 : PATTERNB9 = 474019 : PATTERNC9 = 157609 : COUNT = 397
CUBE = 63044792 : PATTERNA2 = 512 : PATTERNB7 = 476407 : PATTERNC4 = 158404 : COUNT = 398
CUBE = 63521199 : PATTERNA9 = 729 : PATTERNB1 = 478801 : PATTERNC1 = 159201 : COUNT = 399
CUBE = 64000000 : PATTERNA0 = 0 : PATTERNB1 = 481201 : PATTERNC0 = 160000 : COUNT = 400
CUBE = 64481201 : PATTERNA1 = 1 : PATTERNB7 = 483607 : PATTERNC1 = 160801 : COUNT = 401
CUBE = 64964808 : PATTERNA8 = 8 : PATTERNB9 = 486019 : PATTERNC4 = 161604 : COUNT = 402
CUBE = 65450827 : PATTERNA7 = 27 : PATTERNB7 = 488437 : PATTERNC9 = 162409 : COUNT = 403
CUBE = 65939264 : PATTERNA4 = 64 : PATTERNB1 = 490861 : PATTERNC6 = 163216 : COUNT = 404
CUBE = 66430125 : PATTERNA5 = 125 : PATTERNB1 = 493291 : PATTERNC5 = 164025 : COUNT = 405
CUBE = 66923416 : PATTERNA6 = 216 : PATTERNB7 = 495727 : PATTERNC6 = 164836 : COUNT = 406
CUBE = 67419143 : PATTERNA3 = 343 : PATTERNB9 = 498169 : PATTERNC9 = 165649 : COUNT = 407
CUBE = 67917312 : PATTERNA2 = 512 : PATTERNB7 = 500617 : PATTERNC4 = 166464 : COUNT = 408
CUBE = 68417929 : PATTERNA9 = 729 : PATTERNB1 = 503071 : PATTERNC1 = 167281 : COUNT = 409
CUBE = 68921000 : PATTERNA0 = 0 : PATTERNB1 = 505531 : PATTERNC0 = 168100 : COUNT = 410
CUBE = 69426531 : PATTERNA1 = 1 : PATTERNB7 = 507997 : PATTERNC1 = 168921 : COUNT = 411
CUBE = 69934528 : PATTERNA8 = 8 : PATTERNB9 = 510469 : PATTERNC4 = 169744 : COUNT = 412
CUBE = 70444997 : PATTERNA7 = 27 : PATTERNB7 = 512947 : PATTERNC9 = 170569 : COUNT = 413
CUBE = 70957944 : PATTERNA4 = 64 : PATTERNB1 = 515431 : PATTERNC6 = 171396 : COUNT = 414
CUBE = 71473375 : PATTERNA5 = 125 : PATTERNB1 = 517921 : PATTERNC5 = 172225 : COUNT = 415
CUBE = 71991296 : PATTERNA6 = 216 : PATTERNB7 = 520417 : PATTERNC6 = 173056 : COUNT = 416
CUBE = 72511713 : PATTERNA3 = 343 : PATTERNB9 = 522919 : PATTERNC9 = 173889 : COUNT = 417
CUBE = 73034632 : PATTERNA2 = 512 : PATTERNB7 = 525427 : PATTERNC4 = 174724 : COUNT = 418
CUBE = 73560059 : PATTERNA9 = 729 : PATTERNB1 = 527941 : PATTERNC1 = 175561 : COUNT = 419
CUBE = 74088000 : PATTERNA0 = 0 : PATTERNB1 = 530461 : PATTERNC0 = 176400 : COUNT = 420
CUBE = 74618461 : PATTERNA1 = 1 : PATTERNB7 = 532987 : PATTERNC1 = 177241 : COUNT = 421
CUBE = 75151448 : PATTERNA8 = 8 : PATTERNB9 = 535519 : PATTERNC4 = 178084 : COUNT = 422
CUBE = 75686967 : PATTERNA7 = 27 : PATTERNB7 = 538057 : PATTERNC9 = 178929 : COUNT = 423
CUBE = 76225024 : PATTERNA4 = 64 : PATTERNB1 = 540601 : PATTERNC6 = 179776 : COUNT = 424
CUBE = 76765625 : PATTERNA5 = 125 : PATTERNB1 = 543151 : PATTERNC5 = 180625 : COUNT = 425
CUBE = 77308776 : PATTERNA6 = 216 : PATTERNB7 = 545707 : PATTERNC6 = 181476 : COUNT = 426
CUBE = 77854483 : PATTERNA3 = 343 : PATTERNB9 = 548269 : PATTERNC9 = 182329 : COUNT = 427
CUBE = 78402752 : PATTERNA2 = 512 : PATTERNB7 = 550837 : PATTERNC4 = 183184 : COUNT = 428
CUBE = 78953589 : PATTERNA9 = 729 : PATTERNB1 = 553411 : PATTERNC1 = 184041 : COUNT = 429
CUBE = 79507000 : PATTERNA0 = 0 : PATTERNB1 = 555991 : PATTERNC0 = 184900 : COUNT = 430
CUBE = 80062991 : PATTERNA1 = 1 : PATTERNB7 = 558577 : PATTERNC1 = 185761 : COUNT = 431
CUBE = 80621568 : PATTERNA8 = 8 : PATTERNB9 = 561169 : PATTERNC4 = 186624 : COUNT = 432
CUBE = 81182737 : PATTERNA7 = 27 : PATTERNB7 = 563767 : PATTERNC9 = 187489 : COUNT = 433
CUBE = 81746504 : PATTERNA4 = 64 : PATTERNB1 = 566371 : PATTERNC6 = 188356 : COUNT = 434
CUBE = 82312875 : PATTERNA5 = 125 : PATTERNB1 = 568981 : PATTERNC5 = 189225 : COUNT = 435
CUBE = 82881856 : PATTERNA6 = 216 : PATTERNB7 = 571597 : PATTERNC6 = 190096 : COUNT = 436
CUBE = 83453453 : PATTERNA3 = 343 : PATTERNB9 = 574219 : PATTERNC9 = 190969 : COUNT = 437
CUBE = 84027672 : PATTERNA2 = 512 : PATTERNB7 = 576847 : PATTERNC4 = 191844 : COUNT = 438
CUBE = 84604519 : PATTERNA9 = 729 : PATTERNB1 = 579481 : PATTERNC1 = 192721 : COUNT = 439
CUBE = 85184000 : PATTERNA0 = 0 : PATTERNB1 = 582121 : PATTERNC0 = 193600 : COUNT = 440
CUBE = 85766121 : PATTERNA1 = 1 : PATTERNB7 = 584767 : PATTERNC1 = 194481 : COUNT = 441
CUBE = 86350888 : PATTERNA8 = 8 : PATTERNB9 = 587419 : PATTERNC4 = 195364 : COUNT = 442
CUBE = 86938307 : PATTERNA7 = 27 : PATTERNB7 = 590077 : PATTERNC9 = 196249 : COUNT = 443
CUBE = 87528384 : PATTERNA4 = 64 : PATTERNB1 = 592741 : PATTERNC6 = 197136 : COUNT = 444
CUBE = 88121125 : PATTERNA5 = 125 : PATTERNB1 = 595411 : PATTERNC5 = 198025 : COUNT = 445
CUBE = 88716536 : PATTERNA6 = 216 : PATTERNB7 = 598087 : PATTERNC6 = 198916 : COUNT = 446
CUBE = 89314623 : PATTERNA3 = 343 : PATTERNB9 = 600769 : PATTERNC9 = 199809 : COUNT = 447
CUBE = 89915392 : PATTERNA2 = 512 : PATTERNB7 = 603457 : PATTERNC4 = 200704 : COUNT = 448
CUBE = 90518849 : PATTERNA9 = 729 : PATTERNB1 = 606151 : PATTERNC1 = 201601 : COUNT = 449
CUBE = 91125000 : PATTERNA0 = 0 : PATTERNB1 = 608851 : PATTERNC0 = 202500 : COUNT = 450
CUBE = 91733851 : PATTERNA1 = 1 : PATTERNB7 = 611557 : PATTERNC1 = 203401 : COUNT = 451
CUBE = 92345408 : PATTERNA8 = 8 : PATTERNB9 = 614269 : PATTERNC4 = 204304 : COUNT = 452
CUBE = 92959677 : PATTERNA7 = 27 : PATTERNB7 = 616987 : PATTERNC9 = 205209 : COUNT = 453
CUBE = 93576664 : PATTERNA4 = 64 : PATTERNB1 = 619711 : PATTERNC6 = 206116 : COUNT = 454
CUBE = 94196375 : PATTERNA5 = 125 : PATTERNB1 = 622441 : PATTERNC5 = 207025 : COUNT = 455
CUBE = 94818816 : PATTERNA6 = 216 : PATTERNB7 = 625177 : PATTERNC6 = 207936 : COUNT = 456
CUBE = 95443993 : PATTERNA3 = 343 : PATTERNB9 = 627919 : PATTERNC9 = 208849 : COUNT = 457
CUBE = 96071912 : PATTERNA2 = 512 : PATTERNB7 = 630667 : PATTERNC4 = 209764 : COUNT = 458
CUBE = 96702579 : PATTERNA9 = 729 : PATTERNB1 = 633421 : PATTERNC1 = 210681 : COUNT = 459
CUBE = 97336000 : PATTERNA0 = 0 : PATTERNB1 = 636181 : PATTERNC0 = 211600 : COUNT = 460
CUBE = 97972181 : PATTERNA1 = 1 : PATTERNB7 = 638947 : PATTERNC1 = 212521 : COUNT = 461
CUBE = 98611128 : PATTERNA8 = 8 : PATTERNB9 = 641719 : PATTERNC4 = 213444 : COUNT = 462
CUBE = 99252847 : PATTERNA7 = 27 : PATTERNB7 = 644497 : PATTERNC9 = 214369 : COUNT = 463
CUBE = 99897344 : PATTERNA4 = 64 : PATTERNB1 = 647281 : PATTERNC6 = 215296 : COUNT = 464
CUBE = 100544625 : PATTERNA5 = 125 : PATTERNB1 = 650071 : PATTERNC5 = 216225 : COUNT = 465
CUBE = 101194696 : PATTERNA6 = 216 : PATTERNB7 = 652867 : PATTERNC6 = 217156 : COUNT = 466
CUBE = 101847563 : PATTERNA3 = 343 : PATTERNB9 = 655669 : PATTERNC9 = 218089 : COUNT = 467
CUBE = 102503232 : PATTERNA2 = 512 : PATTERNB7 = 658477 : PATTERNC4 = 219024 : COUNT = 468
CUBE = 103161709 : PATTERNA9 = 729 : PATTERNB1 = 661291 : PATTERNC1 = 219961 : COUNT = 469
CUBE = 103823000 : PATTERNA0 = 0 : PATTERNB1 = 664111 : PATTERNC0 = 220900 : COUNT = 470
CUBE = 104487111 : PATTERNA1 = 1 : PATTERNB7 = 666937 : PATTERNC1 = 221841 : COUNT = 471
CUBE = 105154048 : PATTERNA8 = 8 : PATTERNB9 = 669769 : PATTERNC4 = 222784 : COUNT = 472
CUBE = 105823817 : PATTERNA7 = 27 : PATTERNB7 = 672607 : PATTERNC9 = 223729 : COUNT = 473
CUBE = 106496424 : PATTERNA4 = 64 : PATTERNB1 = 675451 : PATTERNC6 = 224676 : COUNT = 474
CUBE = 107171875 : PATTERNA5 = 125 : PATTERNB1 = 678301 : PATTERNC5 = 225625 : COUNT = 475
CUBE = 107850176 : PATTERNA6 = 216 : PATTERNB7 = 681157 : PATTERNC6 = 226576 : COUNT = 476
CUBE = 108531333 : PATTERNA3 = 343 : PATTERNB9 = 684019 : PATTERNC9 = 227529 : COUNT = 477
CUBE = 109215352 : PATTERNA2 = 512 : PATTERNB7 = 686887 : PATTERNC4 = 228484 : COUNT = 478
CUBE = 109902239 : PATTERNA9 = 729 : PATTERNB1 = 689761 : PATTERNC1 = 229441 : COUNT = 479
CUBE = 110592000 : PATTERNA0 = 0 : PATTERNB1 = 692641 : PATTERNC0 = 230400 : COUNT = 480
CUBE = 111284641 : PATTERNA1 = 1 : PATTERNB7 = 695527 : PATTERNC1 = 231361 : COUNT = 481
CUBE = 111980168 : PATTERNA8 = 8 : PATTERNB9 = 698419 : PATTERNC4 = 232324 : COUNT = 482
CUBE = 112678587 : PATTERNA7 = 27 : PATTERNB7 = 701317 : PATTERNC9 = 233289 : COUNT = 483
CUBE = 113379904 : PATTERNA4 = 64 : PATTERNB1 = 704221 : PATTERNC6 = 234256 : COUNT = 484
CUBE = 114084125 : PATTERNA5 = 125 : PATTERNB1 = 707131 : PATTERNC5 = 235225 : COUNT = 485
CUBE = 114791256 : PATTERNA6 = 216 : PATTERNB7 = 710047 : PATTERNC6 = 236196 : COUNT = 486
CUBE = 115501303 : PATTERNA3 = 343 : PATTERNB9 = 712969 : PATTERNC9 = 237169 : COUNT = 487
CUBE = 116214272 : PATTERNA2 = 512 : PATTERNB7 = 715897 : PATTERNC4 = 238144 : COUNT = 488
CUBE = 116930169 : PATTERNA9 = 729 : PATTERNB1 = 718831 : PATTERNC1 = 239121 : COUNT = 489
CUBE = 117649000 : PATTERNA0 = 0 : PATTERNB1 = 721771 : PATTERNC0 = 240100 : COUNT = 490
CUBE = 118370771 : PATTERNA1 = 1 : PATTERNB7 = 724717 : PATTERNC1 = 241081 : COUNT = 491
CUBE = 119095488 : PATTERNA8 = 8 : PATTERNB9 = 727669 : PATTERNC4 = 242064 : COUNT = 492
CUBE = 119823157 : PATTERNA7 = 27 : PATTERNB7 = 730627 : PATTERNC9 = 243049 : COUNT = 493
CUBE = 120553784 : PATTERNA4 = 64 : PATTERNB1 = 733591 : PATTERNC6 = 244036 : COUNT = 494
CUBE = 121287375 : PATTERNA5 = 125 : PATTERNB1 = 736561 : PATTERNC5 = 245025 : COUNT = 495
CUBE = 122023936 : PATTERNA6 = 216 : PATTERNB7 = 739537 : PATTERNC6 = 246016 : COUNT = 496
CUBE = 122763473 : PATTERNA3 = 343 : PATTERNB9 = 742519 : PATTERNC9 = 247009 : COUNT = 497
CUBE = 123505992 : PATTERNA2 = 512 : PATTERNB7 = 745507 : PATTERNC4 = 248004 : COUNT = 498
CUBE = 124251499 : PATTERNA9 = 729 : PATTERNB1 = 748501 : PATTERNC1 = 249001 : COUNT = 499
CUBE = 125000000 : PATTERNA0 = 0 : PATTERNB1 = 751501 : PATTERNC0 = 250000 : COUNT = 500
CUBE = 125751501 : PATTERNA1 = 1 : PATTERNB7 = 754507 : PATTERNC1 = 251001 : COUNT = 501
CUBE = 126506008 : PATTERNA8 = 8 : PATTERNB9 = 757519 : PATTERNC4 = 252004 : COUNT = 502
CUBE = 127263527 : PATTERNA7 = 27 : PATTERNB7 = 760537 : PATTERNC9 = 253009 : COUNT = 503
CUBE = 128024064 : PATTERNA4 = 64 : PATTERNB1 = 763561 : PATTERNC6 = 254016 : COUNT = 504
CUBE = 128787625 : PATTERNA5 = 125 : PATTERNB1 = 766591 : PATTERNC5 = 255025 : COUNT = 505
CUBE = 129554216 : PATTERNA6 = 216 : PATTERNB7 = 769627 : PATTERNC6 = 256036 : COUNT = 506
CUBE = 130323843 : PATTERNA3 = 343 : PATTERNB9 = 772669 : PATTERNC9 = 257049 : COUNT = 507
CUBE = 131096512 : PATTERNA2 = 512 : PATTERNB7 = 775717 : PATTERNC4 = 258064 : COUNT = 508
CUBE = 131872229 : PATTERNA9 = 729 : PATTERNB1 = 778771 : PATTERNC1 = 259081 : COUNT = 509
CUBE = 132651000 : PATTERNA0 = 0 : PATTERNB1 = 781831 : PATTERNC0 = 260100 : COUNT = 510
CUBE = 133432831 : PATTERNA1 = 1 : PATTERNB7 = 784897 : PATTERNC1 = 261121 : COUNT = 511
CUBE = 134217728 : PATTERNA8 = 8 : PATTERNB9 = 787969 : PATTERNC4 = 262144 : COUNT = 512
CUBE = 135005697 : PATTERNA7 = 27 : PATTERNB7 = 791047 : PATTERNC9 = 263169 : COUNT = 513
CUBE = 135796744 : PATTERNA4 = 64 : PATTERNB1 = 794131 : PATTERNC6 = 264196 : COUNT = 514
CUBE = 136590875 : PATTERNA5 = 125 : PATTERNB1 = 797221 : PATTERNC5 = 265225 : COUNT = 515
CUBE = 137388096 : PATTERNA6 = 216 : PATTERNB7 = 800317 : PATTERNC6 = 266256 : COUNT = 516
CUBE = 138188413 : PATTERNA3 = 343 : PATTERNB9 = 803419 : PATTERNC9 = 267289 : COUNT = 517
CUBE = 138991832 : PATTERNA2 = 512 : PATTERNB7 = 806527 : PATTERNC4 = 268324 : COUNT = 518
CUBE = 139798359 : PATTERNA9 = 729 : PATTERNB1 = 809641 : PATTERNC1 = 269361 : COUNT = 519
CUBE = 140608000 : PATTERNA0 = 0 : PATTERNB1 = 812761 : PATTERNC0 = 270400 : COUNT = 520
CUBE = 141420761 : PATTERNA1 = 1 : PATTERNB7 = 815887 : PATTERNC1 = 271441 : COUNT = 521
CUBE = 142236648 : PATTERNA8 = 8 : PATTERNB9 = 819019 : PATTERNC4 = 272484 : COUNT = 522
CUBE = 143055667 : PATTERNA7 = 27 : PATTERNB7 = 822157 : PATTERNC9 = 273529 : COUNT = 523
CUBE = 143877824 : PATTERNA4 = 64 : PATTERNB1 = 825301 : PATTERNC6 = 274576 : COUNT = 524
CUBE = 144703125 : PATTERNA5 = 125 : PATTERNB1 = 828451 : PATTERNC5 = 275625 : COUNT = 525
CUBE = 145531576 : PATTERNA6 = 216 : PATTERNB7 = 831607 : PATTERNC6 = 276676 : COUNT = 526
CUBE = 146363183 : PATTERNA3 = 343 : PATTERNB9 = 834769 : PATTERNC9 = 277729 : COUNT = 527
CUBE = 147197952 : PATTERNA2 = 512 : PATTERNB7 = 837937 : PATTERNC4 = 278784 : COUNT = 528
CUBE = 148035889 : PATTERNA9 = 729 : PATTERNB1 = 841111 : PATTERNC1 = 279841 : COUNT = 529
CUBE = 148877000 : PATTERNA0 = 0 : PATTERNB1 = 844291 : PATTERNC0 = 280900 : COUNT = 530
CUBE = 149721291 : PATTERNA1 = 1 : PATTERNB7 = 847477 : PATTERNC1 = 281961 : COUNT = 531
CUBE = 150568768 : PATTERNA8 = 8 : PATTERNB9 = 850669 : PATTERNC4 = 283024 : COUNT = 532
CUBE = 151419437 : PATTERNA7 = 27 : PATTERNB7 = 853867 : PATTERNC9 = 284089 : COUNT = 533
CUBE = 152273304 : PATTERNA4 = 64 : PATTERNB1 = 857071 : PATTERNC6 = 285156 : COUNT = 534
CUBE = 153130375 : PATTERNA5 = 125 : PATTERNB1 = 860281 : PATTERNC5 = 286225 : COUNT = 535
CUBE = 153990656 : PATTERNA6 = 216 : PATTERNB7 = 863497 : PATTERNC6 = 287296 : COUNT = 536
CUBE = 154854153 : PATTERNA3 = 343 : PATTERNB9 = 866719 : PATTERNC9 = 288369 : COUNT = 537
CUBE = 155720872 : PATTERNA2 = 512 : PATTERNB7 = 869947 : PATTERNC4 = 289444 : COUNT = 538
CUBE = 156590819 : PATTERNA9 = 729 : PATTERNB1 = 873181 : PATTERNC1 = 290521 : COUNT = 539
CUBE = 157464000 : PATTERNA0 = 0 : PATTERNB1 = 876421 : PATTERNC0 = 291600 : COUNT = 540
CUBE = 158340421 : PATTERNA1 = 1 : PATTERNB7 = 879667 : PATTERNC1 = 292681 : COUNT = 541
CUBE = 159220088 : PATTERNA8 = 8 : PATTERNB9 = 882919 : PATTERNC4 = 293764 : COUNT = 542
CUBE = 160103007 : PATTERNA7 = 27 : PATTERNB7 = 886177 : PATTERNC9 = 294849 : COUNT = 543
CUBE = 160989184 : PATTERNA4 = 64 : PATTERNB1 = 889441 : PATTERNC6 = 295936 : COUNT = 544
CUBE = 161878625 : PATTERNA5 = 125 : PATTERNB1 = 892711 : PATTERNC5 = 297025 : COUNT = 545
CUBE = 162771336 : PATTERNA6 = 216 : PATTERNB7 = 895987 : PATTERNC6 = 298116 : COUNT = 546
CUBE = 163667323 : PATTERNA3 = 343 : PATTERNB9 = 899269 : PATTERNC9 = 299209 : COUNT = 547
CUBE = 164566592 : PATTERNA2 = 512 : PATTERNB7 = 902557 : PATTERNC4 = 300304 : COUNT = 548
CUBE = 165469149 : PATTERNA9 = 729 : PATTERNB1 = 905851 : PATTERNC1 = 301401 : COUNT = 549
CUBE = 166375000 : PATTERNA0 = 0 : PATTERNB1 = 909151 : PATTERNC0 = 302500 : COUNT = 550
CUBE = 167284151 : PATTERNA1 = 1 : PATTERNB7 = 912457 : PATTERNC1 = 303601 : COUNT = 551
CUBE = 168196608 : PATTERNA8 = 8 : PATTERNB9 = 915769 : PATTERNC4 = 304704 : COUNT = 552
CUBE = 169112377 : PATTERNA7 = 27 : PATTERNB7 = 919087 : PATTERNC9 = 305809 : COUNT = 553
CUBE = 170031464 : PATTERNA4 = 64 : PATTERNB1 = 922411 : PATTERNC6 = 306916 : COUNT = 554
CUBE = 170953875 : PATTERNA5 = 125 : PATTERNB1 = 925741 : PATTERNC5 = 308025 : COUNT = 555
CUBE = 171879616 : PATTERNA6 = 216 : PATTERNB7 = 929077 : PATTERNC6 = 309136 : COUNT = 556
CUBE = 172808693 : PATTERNA3 = 343 : PATTERNB9 = 932419 : PATTERNC9 = 310249 : COUNT = 557
CUBE = 173741112 : PATTERNA2 = 512 : PATTERNB7 = 935767 : PATTERNC4 = 311364 : COUNT = 558
CUBE = 174676879 : PATTERNA9 = 729 : PATTERNB1 = 939121 : PATTERNC1 = 312481 : COUNT = 559
CUBE = 175616000 : PATTERNA0 = 0 : PATTERNB1 = 942481 : PATTERNC0 = 313600 : COUNT = 560
CUBE = 176558481 : PATTERNA1 = 1 : PATTERNB7 = 945847 : PATTERNC1 = 314721 : COUNT = 561
CUBE = 177504328 : PATTERNA8 = 8 : PATTERNB9 = 949219 : PATTERNC4 = 315844 : COUNT = 562
CUBE = 178453547 : PATTERNA7 = 27 : PATTERNB7 = 952597 : PATTERNC9 = 316969 : COUNT = 563
CUBE = 179406144 : PATTERNA4 = 64 : PATTERNB1 = 955981 : PATTERNC6 = 318096 : COUNT = 564
CUBE = 180362125 : PATTERNA5 = 125 : PATTERNB1 = 959371 : PATTERNC5 = 319225 : COUNT = 565
CUBE = 181321496 : PATTERNA6 = 216 : PATTERNB7 = 962767 : PATTERNC6 = 320356 : COUNT = 566
CUBE = 182284263 : PATTERNA3 = 343 : PATTERNB9 = 966169 : PATTERNC9 = 321489 : COUNT = 567
CUBE = 183250432 : PATTERNA2 = 512 : PATTERNB7 = 969577 : PATTERNC4 = 322624 : COUNT = 568
CUBE = 184220009 : PATTERNA9 = 729 : PATTERNB1 = 972991 : PATTERNC1 = 323761 : COUNT = 569
CUBE = 185193000 : PATTERNA0 = 0 : PATTERNB1 = 976411 : PATTERNC0 = 324900 : COUNT = 570
CUBE = 186169411 : PATTERNA1 = 1 : PATTERNB7 = 979837 : PATTERNC1 = 326041 : COUNT = 571
CUBE = 187149248 : PATTERNA8 = 8 : PATTERNB9 = 983269 : PATTERNC4 = 327184 : COUNT = 572
CUBE = 188132517 : PATTERNA7 = 27 : PATTERNB7 = 986707 : PATTERNC9 = 328329 : COUNT = 573
CUBE = 189119224 : PATTERNA4 = 64 : PATTERNB1 = 990151 : PATTERNC6 = 329476 : COUNT = 574
CUBE = 190109375 : PATTERNA5 = 125 : PATTERNB1 = 993601 : PATTERNC5 = 330625 : COUNT = 575
CUBE = 191102976 : PATTERNA6 = 216 : PATTERNB7 = 997057 : PATTERNC6 = 331776 : COUNT = 576
CUBE = 192100033 : PATTERNA3 = 343 : PATTERNB9 = 1000519 : PATTERNC9 = 332929 : COUNT = 577
CUBE = 193100552 : PATTERNA2 = 512 : PATTERNB7 = 1003987 : PATTERNC4 = 334084 : COUNT = 578
CUBE = 194104539 : PATTERNA9 = 729 : PATTERNB1 = 1007461 : PATTERNC1 = 335241 : COUNT = 579
CUBE = 195112000 : PATTERNA0 = 0 : PATTERNB1 = 1010941 : PATTERNC0 = 336400 : COUNT = 580
CUBE = 196122941 : PATTERNA1 = 1 : PATTERNB7 = 1014427 : PATTERNC1 = 337561 : COUNT = 581
CUBE = 197137368 : PATTERNA8 = 8 : PATTERNB9 = 1017919 : PATTERNC4 = 338724 : COUNT = 582
CUBE = 198155287 : PATTERNA7 = 27 : PATTERNB7 = 1021417 : PATTERNC9 = 339889 : COUNT = 583
CUBE = 199176704 : PATTERNA4 = 64 : PATTERNB1 = 1024921 : PATTERNC6 = 341056 : COUNT = 584
CUBE = 200201625 : PATTERNA5 = 125 : PATTERNB1 = 1028431 : PATTERNC5 = 342225 : COUNT = 585
CUBE = 201230056 : PATTERNA6 = 216 : PATTERNB7 = 1031947 : PATTERNC6 = 343396 : COUNT = 586
CUBE = 202262003 : PATTERNA3 = 343 : PATTERNB9 = 1035469 : PATTERNC9 = 344569 : COUNT = 587
CUBE = 203297472 : PATTERNA2 = 512 : PATTERNB7 = 1038997 : PATTERNC4 = 345744 : COUNT = 588
CUBE = 204336469 : PATTERNA9 = 729 : PATTERNB1 = 1042531 : PATTERNC1 = 346921 : COUNT = 589
CUBE = 205379000 : PATTERNA0 = 0 : PATTERNB1 = 1046071 : PATTERNC0 = 348100 : COUNT = 590
CUBE = 206425071 : PATTERNA1 = 1 : PATTERNB7 = 1049617 : PATTERNC1 = 349281 : COUNT = 591
CUBE = 207474688 : PATTERNA8 = 8 : PATTERNB9 = 1053169 : PATTERNC4 = 350464 : COUNT = 592
CUBE = 208527857 : PATTERNA7 = 27 : PATTERNB7 = 1056727 : PATTERNC9 = 351649 : COUNT = 593
CUBE = 209584584 : PATTERNA4 = 64 : PATTERNB1 = 1060291 : PATTERNC6 = 352836 : COUNT = 594
CUBE = 210644875 : PATTERNA5 = 125 : PATTERNB1 = 1063861 : PATTERNC5 = 354025 : COUNT = 595
CUBE = 211708736 : PATTERNA6 = 216 : PATTERNB7 = 1067437 : PATTERNC6 = 355216 : COUNT = 596
CUBE = 212776173 : PATTERNA3 = 343 : PATTERNB9 = 1071019 : PATTERNC9 = 356409 : COUNT = 597
CUBE = 213847192 : PATTERNA2 = 512 : PATTERNB7 = 1074607 : PATTERNC4 = 357604 : COUNT = 598
CUBE = 214921799 : PATTERNA9 = 729 : PATTERNB1 = 1078201 : PATTERNC1 = 358801 : COUNT = 599
CUBE = 216000000 : PATTERNA0 = 0 : PATTERNB1 = 1081801 : PATTERNC0 = 360000 : COUNT = 600
CUBE = 217081801 : PATTERNA1 = 1 : PATTERNB7 = 1085407 : PATTERNC1 = 361201 : COUNT = 601
CUBE = 218167208 : PATTERNA8 = 8 : PATTERNB9 = 1089019 : PATTERNC4 = 362404 : COUNT = 602
CUBE = 219256227 : PATTERNA7 = 27 : PATTERNB7 = 1092637 : PATTERNC9 = 363609 : COUNT = 603
CUBE = 220348864 : PATTERNA4 = 64 : PATTERNB1 = 1096261 : PATTERNC6 = 364816 : COUNT = 604
CUBE = 221445125 : PATTERNA5 = 125 : PATTERNB1 = 1099891 : PATTERNC5 = 366025 : COUNT = 605
CUBE = 222545016 : PATTERNA6 = 216 : PATTERNB7 = 1103527 : PATTERNC6 = 367236 : COUNT = 606
CUBE = 223648543 : PATTERNA3 = 343 : PATTERNB9 = 1107169 : PATTERNC9 = 368449 : COUNT = 607
CUBE = 224755712 : PATTERNA2 = 512 : PATTERNB7 = 1110817 : PATTERNC4 = 369664 : COUNT = 608
CUBE = 225866529 : PATTERNA9 = 729 : PATTERNB1 = 1114471 : PATTERNC1 = 370881 : COUNT = 609
CUBE = 226981000 : PATTERNA0 = 0 : PATTERNB1 = 1118131 : PATTERNC0 = 372100 : COUNT = 610
CUBE = 228099131 : PATTERNA1 = 1 : PATTERNB7 = 1121797 : PATTERNC1 = 373321 : COUNT = 611
CUBE = 229220928 : PATTERNA8 = 8 : PATTERNB9 = 1125469 : PATTERNC4 = 374544 : COUNT = 612
CUBE = 230346397 : PATTERNA7 = 27 : PATTERNB7 = 1129147 : PATTERNC9 = 375769 : COUNT = 613
CUBE = 231475544 : PATTERNA4 = 64 : PATTERNB1 = 1132831 : PATTERNC6 = 376996 : COUNT = 614
CUBE = 232608375 : PATTERNA5 = 125 : PATTERNB1 = 1136521 : PATTERNC5 = 378225 : COUNT = 615
CUBE = 233744896 : PATTERNA6 = 216 : PATTERNB7 = 1140217 : PATTERNC6 = 379456 : COUNT = 616
CUBE = 234885113 : PATTERNA3 = 343 : PATTERNB9 = 1143919 : PATTERNC9 = 380689 : COUNT = 617
CUBE = 236029032 : PATTERNA2 = 512 : PATTERNB7 = 1147627 : PATTERNC4 = 381924 : COUNT = 618
CUBE = 237176659 : PATTERNA9 = 729 : PATTERNB1 = 1151341 : PATTERNC1 = 383161 : COUNT = 619
CUBE = 238328000 : PATTERNA0 = 0 : PATTERNB1 = 1155061 : PATTERNC0 = 384400 : COUNT = 620
CUBE = 239483061 : PATTERNA1 = 1 : PATTERNB7 = 1158787 : PATTERNC1 = 385641 : COUNT = 621
CUBE = 240641848 : PATTERNA8 = 8 : PATTERNB9 = 1162519 : PATTERNC4 = 386884 : COUNT = 622
CUBE = 241804367 : PATTERNA7 = 27 : PATTERNB7 = 1166257 : PATTERNC9 = 388129 : COUNT = 623
CUBE = 242970624 : PATTERNA4 = 64 : PATTERNB1 = 1170001 : PATTERNC6 = 389376 : COUNT = 624
CUBE = 244140625 : PATTERNA5 = 125 : PATTERNB1 = 1173751 : PATTERNC5 = 390625 : COUNT = 625
CUBE = 245314376 : PATTERNA6 = 216 : PATTERNB7 = 1177507 : PATTERNC6 = 391876 : COUNT = 626
CUBE = 246491883 : PATTERNA3 = 343 : PATTERNB9 = 1181269 : PATTERNC9 = 393129 : COUNT = 627
CUBE = 247673152 : PATTERNA2 = 512 : PATTERNB7 = 1185037 : PATTERNC4 = 394384 : COUNT = 628
CUBE = 248858189 : PATTERNA9 = 729 : PATTERNB1 = 1188811 : PATTERNC1 = 395641 : COUNT = 629
CUBE = 250047000 : PATTERNA0 = 0 : PATTERNB1 = 1192591 : PATTERNC0 = 396900 : COUNT = 630
CUBE = 251239591 : PATTERNA1 = 1 : PATTERNB7 = 1196377 : PATTERNC1 = 398161 : COUNT = 631
CUBE = 252435968 : PATTERNA8 = 8 : PATTERNB9 = 1200169 : PATTERNC4 = 399424 : COUNT = 632
CUBE = 253636137 : PATTERNA7 = 27 : PATTERNB7 = 1203967 : PATTERNC9 = 400689 : COUNT = 633
CUBE = 254840104 : PATTERNA4 = 64 : PATTERNB1 = 1207771 : PATTERNC6 = 401956 : COUNT = 634
CUBE = 256047875 : PATTERNA5 = 125 : PATTERNB1 = 1211581 : PATTERNC5 = 403225 : COUNT = 635
CUBE = 257259456 : PATTERNA6 = 216 : PATTERNB7 = 1215397 : PATTERNC6 = 404496 : COUNT = 636
CUBE = 258474853 : PATTERNA3 = 343 : PATTERNB9 = 1219219 : PATTERNC9 = 405769 : COUNT = 637
CUBE = 259694072 : PATTERNA2 = 512 : PATTERNB7 = 1223047 : PATTERNC4 = 407044 : COUNT = 638
CUBE = 260917119 : PATTERNA9 = 729 : PATTERNB1 = 1226881 : PATTERNC1 = 408321 : COUNT = 639
CUBE = 262144000 : PATTERNA0 = 0 : PATTERNB1 = 1230721 : PATTERNC0 = 409600 : COUNT = 640
CUBE = 263374721 : PATTERNA1 = 1 : PATTERNB7 = 1234567 : PATTERNC1 = 410881 : COUNT = 641
CUBE = 264609288 : PATTERNA8 = 8 : PATTERNB9 = 1238419 : PATTERNC4 = 412164 : COUNT = 642
CUBE = 265847707 : PATTERNA7 = 27 : PATTERNB7 = 1242277 : PATTERNC9 = 413449 : COUNT = 643
CUBE = 267089984 : PATTERNA4 = 64 : PATTERNB1 = 1246141 : PATTERNC6 = 414736 : COUNT = 644
CUBE = 268336125 : PATTERNA5 = 125 : PATTERNB1 = 1250011 : PATTERNC5 = 416025 : COUNT = 645
CUBE = 269586136 : PATTERNA6 = 216 : PATTERNB7 = 1253887 : PATTERNC6 = 417316 : COUNT = 646
CUBE = 270840023 : PATTERNA3 = 343 : PATTERNB9 = 1257769 : PATTERNC9 = 418609 : COUNT = 647
CUBE = 272097792 : PATTERNA2 = 512 : PATTERNB7 = 1261657 : PATTERNC4 = 419904 : COUNT = 648
CUBE = 273359449 : PATTERNA9 = 729 : PATTERNB1 = 1265551 : PATTERNC1 = 421201 : COUNT = 649
CUBE = 274625000 : PATTERNA0 = 0 : PATTERNB1 = 1269451 : PATTERNC0 = 422500 : COUNT = 650
CUBE = 275894451 : PATTERNA1 = 1 : PATTERNB7 = 1273357 : PATTERNC1 = 423801 : COUNT = 651
CUBE = 277167808 : PATTERNA8 = 8 : PATTERNB9 = 1277269 : PATTERNC4 = 425104 : COUNT = 652
CUBE = 278445077 : PATTERNA7 = 27 : PATTERNB7 = 1281187 : PATTERNC9 = 426409 : COUNT = 653
CUBE = 279726264 : PATTERNA4 = 64 : PATTERNB1 = 1285111 : PATTERNC6 = 427716 : COUNT = 654
CUBE = 281011375 : PATTERNA5 = 125 : PATTERNB1 = 1289041 : PATTERNC5 = 429025 : COUNT = 655
CUBE = 282300416 : PATTERNA6 = 216 : PATTERNB7 = 1292977 : PATTERNC6 = 430336 : COUNT = 656
CUBE = 283593393 : PATTERNA3 = 343 : PATTERNB9 = 1296919 : PATTERNC9 = 431649 : COUNT = 657
CUBE = 284890312 : PATTERNA2 = 512 : PATTERNB7 = 1300867 : PATTERNC4 = 432964 : COUNT = 658
CUBE = 286191179 : PATTERNA9 = 729 : PATTERNB1 = 1304821 : PATTERNC1 = 434281 : COUNT = 659
CUBE = 287496000 : PATTERNA0 = 0 : PATTERNB1 = 1308781 : PATTERNC0 = 435600 : COUNT = 660
CUBE = 288804781 : PATTERNA1 = 1 : PATTERNB7 = 1312747 : PATTERNC1 = 436921 : COUNT = 661
CUBE = 290117528 : PATTERNA8 = 8 : PATTERNB9 = 1316719 : PATTERNC4 = 438244 : COUNT = 662
CUBE = 291434247 : PATTERNA7 = 27 : PATTERNB7 = 1320697 : PATTERNC9 = 439569 : COUNT = 663
CUBE = 292754944 : PATTERNA4 = 64 : PATTERNB1 = 1324681 : PATTERNC6 = 440896 : COUNT = 664
CUBE = 294079625 : PATTERNA5 = 125 : PATTERNB1 = 1328671 : PATTERNC5 = 442225 : COUNT = 665
CUBE = 295408296 : PATTERNA6 = 216 : PATTERNB7 = 1332667 : PATTERNC6 = 443556 : COUNT = 666
CUBE = 296740963 : PATTERNA3 = 343 : PATTERNB9 = 1336669 : PATTERNC9 = 444889 : COUNT = 667
CUBE = 298077632 : PATTERNA2 = 512 : PATTERNB7 = 1340677 : PATTERNC4 = 446224 : COUNT = 668
CUBE = 299418309 : PATTERNA9 = 729 : PATTERNB1 = 1344691 : PATTERNC1 = 447561 : COUNT = 669
CUBE = 300763000 : PATTERNA0 = 0 : PATTERNB1 = 1348711 : PATTERNC0 = 448900 : COUNT = 670
CUBE = 302111711 : PATTERNA1 = 1 : PATTERNB7 = 1352737 : PATTERNC1 = 450241 : COUNT = 671
CUBE = 303464448 : PATTERNA8 = 8 : PATTERNB9 = 1356769 : PATTERNC4 = 451584 : COUNT = 672
CUBE = 304821217 : PATTERNA7 = 27 : PATTERNB7 = 1360807 : PATTERNC9 = 452929 : COUNT = 673
CUBE = 306182024 : PATTERNA4 = 64 : PATTERNB1 = 1364851 : PATTERNC6 = 454276 : COUNT = 674
CUBE = 307546875 : PATTERNA5 = 125 : PATTERNB1 = 1368901 : PATTERNC5 = 455625 : COUNT = 675
CUBE = 308915776 : PATTERNA6 = 216 : PATTERNB7 = 1372957 : PATTERNC6 = 456976 : COUNT = 676
CUBE = 310288733 : PATTERNA3 = 343 : PATTERNB9 = 1377019 : PATTERNC9 = 458329 : COUNT = 677
CUBE = 311665752 : PATTERNA2 = 512 : PATTERNB7 = 1381087 : PATTERNC4 = 459684 : COUNT = 678
CUBE = 313046839 : PATTERNA9 = 729 : PATTERNB1 = 1385161 : PATTERNC1 = 461041 : COUNT = 679
CUBE = 314432000 : PATTERNA0 = 0 : PATTERNB1 = 1389241 : PATTERNC0 = 462400 : COUNT = 680
CUBE = 315821241 : PATTERNA1 = 1 : PATTERNB7 = 1393327 : PATTERNC1 = 463761 : COUNT = 681
CUBE = 317214568 : PATTERNA8 = 8 : PATTERNB9 = 1397419 : PATTERNC4 = 465124 : COUNT = 682
CUBE = 318611987 : PATTERNA7 = 27 : PATTERNB7 = 1401517 : PATTERNC9 = 466489 : COUNT = 683
CUBE = 320013504 : PATTERNA4 = 64 : PATTERNB1 = 1405621 : PATTERNC6 = 467856 : COUNT = 684
CUBE = 321419125 : PATTERNA5 = 125 : PATTERNB1 = 1409731 : PATTERNC5 = 469225 : COUNT = 685
CUBE = 322828856 : PATTERNA6 = 216 : PATTERNB7 = 1413847 : PATTERNC6 = 470596 : COUNT = 686
CUBE = 324242703 : PATTERNA3 = 343 : PATTERNB9 = 1417969 : PATTERNC9 = 471969 : COUNT = 687
CUBE = 325660672 : PATTERNA2 = 512 : PATTERNB7 = 1422097 : PATTERNC4 = 473344 : COUNT = 688
CUBE = 327082769 : PATTERNA9 = 729 : PATTERNB1 = 1426231 : PATTERNC1 = 474721 : COUNT = 689
CUBE = 328509000 : PATTERNA0 = 0 : PATTERNB1 = 1430371 : PATTERNC0 = 476100 : COUNT = 690
CUBE = 329939371 : PATTERNA1 = 1 : PATTERNB7 = 1434517 : PATTERNC1 = 477481 : COUNT = 691
CUBE = 331373888 : PATTERNA8 = 8 : PATTERNB9 = 1438669 : PATTERNC4 = 478864 : COUNT = 692
CUBE = 332812557 : PATTERNA7 = 27 : PATTERNB7 = 1442827 : PATTERNC9 = 480249 : COUNT = 693
CUBE = 334255384 : PATTERNA4 = 64 : PATTERNB1 = 1446991 : PATTERNC6 = 481636 : COUNT = 694
CUBE = 335702375 : PATTERNA5 = 125 : PATTERNB1 = 1451161 : PATTERNC5 = 483025 : COUNT = 695
CUBE = 337153536 : PATTERNA6 = 216 : PATTERNB7 = 1455337 : PATTERNC6 = 484416 : COUNT = 696
CUBE = 338608873 : PATTERNA3 = 343 : PATTERNB9 = 1459519 : PATTERNC9 = 485809 : COUNT = 697
CUBE = 340068392 : PATTERNA2 = 512 : PATTERNB7 = 1463707 : PATTERNC4 = 487204 : COUNT = 698
CUBE = 341532099 : PATTERNA9 = 729 : PATTERNB1 = 1467901 : PATTERNC1 = 488601 : COUNT = 699
CUBE = 343000000 : PATTERNA0 = 0 : PATTERNB1 = 1472101 : PATTERNC0 = 490000 : COUNT = 700
CUBE = 344472101 : PATTERNA1 = 1 : PATTERNB7 = 1476307 : PATTERNC1 = 491401 : COUNT = 701
CUBE = 345948408 : PATTERNA8 = 8 : PATTERNB9 = 1480519 : PATTERNC4 = 492804 : COUNT = 702
CUBE = 347428927 : PATTERNA7 = 27 : PATTERNB7 = 1484737 : PATTERNC9 = 494209 : COUNT = 703
CUBE = 348913664 : PATTERNA4 = 64 : PATTERNB1 = 1488961 : PATTERNC6 = 495616 : COUNT = 704
CUBE = 350402625 : PATTERNA5 = 125 : PATTERNB1 = 1493191 : PATTERNC5 = 497025 : COUNT = 705
CUBE = 351895816 : PATTERNA6 = 216 : PATTERNB7 = 1497427 : PATTERNC6 = 498436 : COUNT = 706
CUBE = 353393243 : PATTERNA3 = 343 : PATTERNB9 = 1501669 : PATTERNC9 = 499849 : COUNT = 707
CUBE = 354894912 : PATTERNA2 = 512 : PATTERNB7 = 1505917 : PATTERNC4 = 501264 : COUNT = 708
CUBE = 356400829 : PATTERNA9 = 729 : PATTERNB1 = 1510171 : PATTERNC1 = 502681 : COUNT = 709
CUBE = 357911000 : PATTERNA0 = 0 : PATTERNB1 = 1514431 : PATTERNC0 = 504100 : COUNT = 710
CUBE = 359425431 : PATTERNA1 = 1 : PATTERNB7 = 1518697 : PATTERNC1 = 505521 : COUNT = 711
CUBE = 360944128 : PATTERNA8 = 8 : PATTERNB9 = 1522969 : PATTERNC4 = 506944 : COUNT = 712
CUBE = 362467097 : PATTERNA7 = 27 : PATTERNB7 = 1527247 : PATTERNC9 = 508369 : COUNT = 713
CUBE = 363994344 : PATTERNA4 = 64 : PATTERNB1 = 1531531 : PATTERNC6 = 509796 : COUNT = 714
CUBE = 365525875 : PATTERNA5 = 125 : PATTERNB1 = 1535821 : PATTERNC5 = 511225 : COUNT = 715
CUBE = 367061696 : PATTERNA6 = 216 : PATTERNB7 = 1540117 : PATTERNC6 = 512656 : COUNT = 716
CUBE = 368601813 : PATTERNA3 = 343 : PATTERNB9 = 1544419 : PATTERNC9 = 514089 : COUNT = 717
CUBE = 370146232 : PATTERNA2 = 512 : PATTERNB7 = 1548727 : PATTERNC4 = 515524 : COUNT = 718
CUBE = 371694959 : PATTERNA9 = 729 : PATTERNB1 = 1553041 : PATTERNC1 = 516961 : COUNT = 719
CUBE = 373248000 : PATTERNA0 = 0 : PATTERNB1 = 1557361 : PATTERNC0 = 518400 : COUNT = 720
CUBE = 374805361 : PATTERNA1 = 1 : PATTERNB7 = 1561687 : PATTERNC1 = 519841 : COUNT = 721
CUBE = 376367048 : PATTERNA8 = 8 : PATTERNB9 = 1566019 : PATTERNC4 = 521284 : COUNT = 722
CUBE = 377933067 : PATTERNA7 = 27 : PATTERNB7 = 1570357 : PATTERNC9 = 522729 : COUNT = 723
CUBE = 379503424 : PATTERNA4 = 64 : PATTERNB1 = 1574701 : PATTERNC6 = 524176 : COUNT = 724
CUBE = 381078125 : PATTERNA5 = 125 : PATTERNB1 = 1579051 : PATTERNC5 = 525625 : COUNT = 725
CUBE = 382657176 : PATTERNA6 = 216 : PATTERNB7 = 1583407 : PATTERNC6 = 527076 : COUNT = 726
CUBE = 384240583 : PATTERNA3 = 343 : PATTERNB9 = 1587769 : PATTERNC9 = 528529 : COUNT = 727
CUBE = 385828352 : PATTERNA2 = 512 : PATTERNB7 = 1592137 : PATTERNC4 = 529984 : COUNT = 728
CUBE = 387420489 : PATTERNA9 = 729 : PATTERNB1 = 1596511 : PATTERNC1 = 531441 : COUNT = 729
CUBE = 389017000 : PATTERNA0 = 0 : PATTERNB1 = 1600891 : PATTERNC0 = 532900 : COUNT = 730
CUBE = 390617891 : PATTERNA1 = 1 : PATTERNB7 = 1605277 : PATTERNC1 = 534361 : COUNT = 731
CUBE = 392223168 : PATTERNA8 = 8 : PATTERNB9 = 1609669 : PATTERNC4 = 535824 : COUNT = 732
CUBE = 393832837 : PATTERNA7 = 27 : PATTERNB7 = 1614067 : PATTERNC9 = 537289 : COUNT = 733
CUBE = 395446904 : PATTERNA4 = 64 : PATTERNB1 = 1618471 : PATTERNC6 = 538756 : COUNT = 734
CUBE = 397065375 : PATTERNA5 = 125 : PATTERNB1 = 1622881 : PATTERNC5 = 540225 : COUNT = 735
CUBE = 398688256 : PATTERNA6 = 216 : PATTERNB7 = 1627297 : PATTERNC6 = 541696 : COUNT = 736
CUBE = 400315553 : PATTERNA3 = 343 : PATTERNB9 = 1631719 : PATTERNC9 = 543169 : COUNT = 737
CUBE = 401947272 : PATTERNA2 = 512 : PATTERNB7 = 1636147 : PATTERNC4 = 544644 : COUNT = 738
CUBE = 403583419 : PATTERNA9 = 729 : PATTERNB1 = 1640581 : PATTERNC1 = 546121 : COUNT = 739
CUBE = 405224000 : PATTERNA0 = 0 : PATTERNB1 = 1645021 : PATTERNC0 = 547600 : COUNT = 740
CUBE = 406869021 : PATTERNA1 = 1 : PATTERNB7 = 1649467 : PATTERNC1 = 549081 : COUNT = 741
CUBE = 408518488 : PATTERNA8 = 8 : PATTERNB9 = 1653919 : PATTERNC4 = 550564 : COUNT = 742
CUBE = 410172407 : PATTERNA7 = 27 : PATTERNB7 = 1658377 : PATTERNC9 = 552049 : COUNT = 743
CUBE = 411830784 : PATTERNA4 = 64 : PATTERNB1 = 1662841 : PATTERNC6 = 553536 : COUNT = 744
CUBE = 413493625 : PATTERNA5 = 125 : PATTERNB1 = 1667311 : PATTERNC5 = 555025 : COUNT = 745
CUBE = 415160936 : PATTERNA6 = 216 : PATTERNB7 = 1671787 : PATTERNC6 = 556516 : COUNT = 746
CUBE = 416832723 : PATTERNA3 = 343 : PATTERNB9 = 1676269 : PATTERNC9 = 558009 : COUNT = 747
CUBE = 418508992 : PATTERNA2 = 512 : PATTERNB7 = 1680757 : PATTERNC4 = 559504 : COUNT = 748
CUBE = 420189749 : PATTERNA9 = 729 : PATTERNB1 = 1685251 : PATTERNC1 = 561001 : COUNT = 749
CUBE = 421875000 : PATTERNA0 = 0 : PATTERNB1 = 1689751 : PATTERNC0 = 562500 : COUNT = 750
CUBE = 423564751 : PATTERNA1 = 1 : PATTERNB7 = 1694257 : PATTERNC1 = 564001 : COUNT = 751
CUBE = 425259008 : PATTERNA8 = 8 : PATTERNB9 = 1698769 : PATTERNC4 = 565504 : COUNT = 752
CUBE = 426957777 : PATTERNA7 = 27 : PATTERNB7 = 1703287 : PATTERNC9 = 567009 : COUNT = 753
CUBE = 428661064 : PATTERNA4 = 64 : PATTERNB1 = 1707811 : PATTERNC6 = 568516 : COUNT = 754
CUBE = 430368875 : PATTERNA5 = 125 : PATTERNB1 = 1712341 : PATTERNC5 = 570025 : COUNT = 755
CUBE = 432081216 : PATTERNA6 = 216 : PATTERNB7 = 1716877 : PATTERNC6 = 571536 : COUNT = 756
CUBE = 433798093 : PATTERNA3 = 343 : PATTERNB9 = 1721419 : PATTERNC9 = 573049 : COUNT = 757
CUBE = 435519512 : PATTERNA2 = 512 : PATTERNB7 = 1725967 : PATTERNC4 = 574564 : COUNT = 758
CUBE = 437245479 : PATTERNA9 = 729 : PATTERNB1 = 1730521 : PATTERNC1 = 576081 : COUNT = 759
CUBE = 438976000 : PATTERNA0 = 0 : PATTERNB1 = 1735081 : PATTERNC0 = 577600 : COUNT = 760
CUBE = 440711081 : PATTERNA1 = 1 : PATTERNB7 = 1739647 : PATTERNC1 = 579121 : COUNT = 761
CUBE = 442450728 : PATTERNA8 = 8 : PATTERNB9 = 1744219 : PATTERNC4 = 580644 : COUNT = 762
CUBE = 444194947 : PATTERNA7 = 27 : PATTERNB7 = 1748797 : PATTERNC9 = 582169 : COUNT = 763
CUBE = 445943744 : PATTERNA4 = 64 : PATTERNB1 = 1753381 : PATTERNC6 = 583696 : COUNT = 764
CUBE = 447697125 : PATTERNA5 = 125 : PATTERNB1 = 1757971 : PATTERNC5 = 585225 : COUNT = 765
CUBE = 449455096 : PATTERNA6 = 216 : PATTERNB7 = 1762567 : PATTERNC6 = 586756 : COUNT = 766
CUBE = 451217663 : PATTERNA3 = 343 : PATTERNB9 = 1767169 : PATTERNC9 = 588289 : COUNT = 767
CUBE = 452984832 : PATTERNA2 = 512 : PATTERNB7 = 1771777 : PATTERNC4 = 589824 : COUNT = 768
CUBE = 454756609 : PATTERNA9 = 729 : PATTERNB1 = 1776391 : PATTERNC1 = 591361 : COUNT = 769
CUBE = 456533000 : PATTERNA0 = 0 : PATTERNB1 = 1781011 : PATTERNC0 = 592900 : COUNT = 770
CUBE = 458314011 : PATTERNA1 = 1 : PATTERNB7 = 1785637 : PATTERNC1 = 594441 : COUNT = 771
CUBE = 460099648 : PATTERNA8 = 8 : PATTERNB9 = 1790269 : PATTERNC4 = 595984 : COUNT = 772
CUBE = 461889917 : PATTERNA7 = 27 : PATTERNB7 = 1794907 : PATTERNC9 = 597529 : COUNT = 773
CUBE = 463684824 : PATTERNA4 = 64 : PATTERNB1 = 1799551 : PATTERNC6 = 599076 : COUNT = 774
CUBE = 465484375 : PATTERNA5 = 125 : PATTERNB1 = 1804201 : PATTERNC5 = 600625 : COUNT = 775
CUBE = 467288576 : PATTERNA6 = 216 : PATTERNB7 = 1808857 : PATTERNC6 = 602176 : COUNT = 776
CUBE = 469097433 : PATTERNA3 = 343 : PATTERNB9 = 1813519 : PATTERNC9 = 603729 : COUNT = 777
CUBE = 470910952 : PATTERNA2 = 512 : PATTERNB7 = 1818187 : PATTERNC4 = 605284 : COUNT = 778
CUBE = 472729139 : PATTERNA9 = 729 : PATTERNB1 = 1822861 : PATTERNC1 = 606841 : COUNT = 779
CUBE = 474552000 : PATTERNA0 = 0 : PATTERNB1 = 1827541 : PATTERNC0 = 608400 : COUNT = 780
CUBE = 476379541 : PATTERNA1 = 1 : PATTERNB7 = 1832227 : PATTERNC1 = 609961 : COUNT = 781
CUBE = 478211768 : PATTERNA8 = 8 : PATTERNB9 = 1836919 : PATTERNC4 = 611524 : COUNT = 782
CUBE = 480048687 : PATTERNA7 = 27 : PATTERNB7 = 1841617 : PATTERNC9 = 613089 : COUNT = 783
CUBE = 481890304 : PATTERNA4 = 64 : PATTERNB1 = 1846321 : PATTERNC6 = 614656 : COUNT = 784
CUBE = 483736625 : PATTERNA5 = 125 : PATTERNB1 = 1851031 : PATTERNC5 = 616225 : COUNT = 785
CUBE = 485587656 : PATTERNA6 = 216 : PATTERNB7 = 1855747 : PATTERNC6 = 617796 : COUNT = 786
CUBE = 487443403 : PATTERNA3 = 343 : PATTERNB9 = 1860469 : PATTERNC9 = 619369 : COUNT = 787
CUBE = 489303872 : PATTERNA2 = 512 : PATTERNB7 = 1865197 : PATTERNC4 = 620944 : COUNT = 788
CUBE = 491169069 : PATTERNA9 = 729 : PATTERNB1 = 1869931 : PATTERNC1 = 622521 : COUNT = 789
CUBE = 493039000 : PATTERNA0 = 0 : PATTERNB1 = 1874671 : PATTERNC0 = 624100 : COUNT = 790
CUBE = 494913671 : PATTERNA1 = 1 : PATTERNB7 = 1879417 : PATTERNC1 = 625681 : COUNT = 791
CUBE = 496793088 : PATTERNA8 = 8 : PATTERNB9 = 1884169 : PATTERNC4 = 627264 : COUNT = 792
CUBE = 498677257 : PATTERNA7 = 27 : PATTERNB7 = 1888927 : PATTERNC9 = 628849 : COUNT = 793
CUBE = 500566184 : PATTERNA4 = 64 : PATTERNB1 = 1893691 : PATTERNC6 = 630436 : COUNT = 794
CUBE = 502459875 : PATTERNA5 = 125 : PATTERNB1 = 1898461 : PATTERNC5 = 632025 : COUNT = 795
CUBE = 504358336 : PATTERNA6 = 216 : PATTERNB7 = 1903237 : PATTERNC6 = 633616 : COUNT = 796
CUBE = 506261573 : PATTERNA3 = 343 : PATTERNB9 = 1908019 : PATTERNC9 = 635209 : COUNT = 797
CUBE = 508169592 : PATTERNA2 = 512 : PATTERNB7 = 1912807 : PATTERNC4 = 636804 : COUNT = 798
CUBE = 510082399 : PATTERNA9 = 729 : PATTERNB1 = 1917601 : PATTERNC1 = 638401 : COUNT = 799
CUBE = 512000000 : PATTERNA0 = 0 : PATTERNB1 = 1922401 : PATTERNC0 = 640000 : COUNT = 800
CUBE = 513922401 : PATTERNA1 = 1 : PATTERNB7 = 1927207 : PATTERNC1 = 641601 : COUNT = 801
CUBE = 515849608 : PATTERNA8 = 8 : PATTERNB9 = 1932019 : PATTERNC4 = 643204 : COUNT = 802
CUBE = 517781627 : PATTERNA7 = 27 : PATTERNB7 = 1936837 : PATTERNC9 = 644809 : COUNT = 803
CUBE = 519718464 : PATTERNA4 = 64 : PATTERNB1 = 1941661 : PATTERNC6 = 646416 : COUNT = 804
CUBE = 521660125 : PATTERNA5 = 125 : PATTERNB1 = 1946491 : PATTERNC5 = 648025 : COUNT = 805
CUBE = 523606616 : PATTERNA6 = 216 : PATTERNB7 = 1951327 : PATTERNC6 = 649636 : COUNT = 806
CUBE = 525557943 : PATTERNA3 = 343 : PATTERNB9 = 1956169 : PATTERNC9 = 651249 : COUNT = 807
CUBE = 527514112 : PATTERNA2 = 512 : PATTERNB7 = 1961017 : PATTERNC4 = 652864 : COUNT = 808
CUBE = 529475129 : PATTERNA9 = 729 : PATTERNB1 = 1965871 : PATTERNC1 = 654481 : COUNT = 809
CUBE = 531441000 : PATTERNA0 = 0 : PATTERNB1 = 1970731 : PATTERNC0 = 656100 : COUNT = 810
CUBE = 533411731 : PATTERNA1 = 1 : PATTERNB7 = 1975597 : PATTERNC1 = 657721 : COUNT = 811
CUBE = 535387328 : PATTERNA8 = 8 : PATTERNB9 = 1980469 : PATTERNC4 = 659344 : COUNT = 812
CUBE = 537367797 : PATTERNA7 = 27 : PATTERNB7 = 1985347 : PATTERNC9 = 660969 : COUNT = 813
CUBE = 539353144 : PATTERNA4 = 64 : PATTERNB1 = 1990231 : PATTERNC6 = 662596 : COUNT = 814
CUBE = 541343375 : PATTERNA5 = 125 : PATTERNB1 = 1995121 : PATTERNC5 = 664225 : COUNT = 815
CUBE = 543338496 : PATTERNA6 = 216 : PATTERNB7 = 2000017 : PATTERNC6 = 665856 : COUNT = 816
CUBE = 545338513 : PATTERNA3 = 343 : PATTERNB9 = 2004919 : PATTERNC9 = 667489 : COUNT = 817
CUBE = 547343432 : PATTERNA2 = 512 : PATTERNB7 = 2009827 : PATTERNC4 = 669124 : COUNT = 818
CUBE = 549353259 : PATTERNA9 = 729 : PATTERNB1 = 2014741 : PATTERNC1 = 670761 : COUNT = 819
CUBE = 551368000 : PATTERNA0 = 0 : PATTERNB1 = 2019661 : PATTERNC0 = 672400 : COUNT = 820
CUBE = 553387661 : PATTERNA1 = 1 : PATTERNB7 = 2024587 : PATTERNC1 = 674041 : COUNT = 821
CUBE = 555412248 : PATTERNA8 = 8 : PATTERNB9 = 2029519 : PATTERNC4 = 675684 : COUNT = 822
CUBE = 557441767 : PATTERNA7 = 27 : PATTERNB7 = 2034457 : PATTERNC9 = 677329 : COUNT = 823
CUBE = 559476224 : PATTERNA4 = 64 : PATTERNB1 = 2039401 : PATTERNC6 = 678976 : COUNT = 824
CUBE = 561515625 : PATTERNA5 = 125 : PATTERNB1 = 2044351 : PATTERNC5 = 680625 : COUNT = 825
CUBE = 563559976 : PATTERNA6 = 216 : PATTERNB7 = 2049307 : PATTERNC6 = 682276 : COUNT = 826
CUBE = 565609283 : PATTERNA3 = 343 : PATTERNB9 = 2054269 : PATTERNC9 = 683929 : COUNT = 827
CUBE = 567663552 : PATTERNA2 = 512 : PATTERNB7 = 2059237 : PATTERNC4 = 685584 : COUNT = 828
CUBE = 569722789 : PATTERNA9 = 729 : PATTERNB1 = 2064211 : PATTERNC1 = 687241 : COUNT = 829
CUBE = 571787000 : PATTERNA0 = 0 : PATTERNB1 = 2069191 : PATTERNC0 = 688900 : COUNT = 830
CUBE = 573856191 : PATTERNA1 = 1 : PATTERNB7 = 2074177 : PATTERNC1 = 690561 : COUNT = 831
CUBE = 575930368 : PATTERNA8 = 8 : PATTERNB9 = 2079169 : PATTERNC4 = 692224 : COUNT = 832
CUBE = 578009537 : PATTERNA7 = 27 : PATTERNB7 = 2084167 : PATTERNC9 = 693889 : COUNT = 833
CUBE = 580093704 : PATTERNA4 = 64 : PATTERNB1 = 2089171 : PATTERNC6 = 695556 : COUNT = 834
CUBE = 582182875 : PATTERNA5 = 125 : PATTERNB1 = 2094181 : PATTERNC5 = 697225 : COUNT = 835
CUBE = 584277056 : PATTERNA6 = 216 : PATTERNB7 = 2099197 : PATTERNC6 = 698896 : COUNT = 836
CUBE = 586376253 : PATTERNA3 = 343 : PATTERNB9 = 2104219 : PATTERNC9 = 700569 : COUNT = 837
CUBE = 588480472 : PATTERNA2 = 512 : PATTERNB7 = 2109247 : PATTERNC4 = 702244 : COUNT = 838
CUBE = 590589719 : PATTERNA9 = 729 : PATTERNB1 = 2114281 : PATTERNC1 = 703921 : COUNT = 839
CUBE = 592704000 : PATTERNA0 = 0 : PATTERNB1 = 2119321 : PATTERNC0 = 705600 : COUNT = 840
CUBE = 594823321 : PATTERNA1 = 1 : PATTERNB7 = 2124367 : PATTERNC1 = 707281 : COUNT = 841
CUBE = 596947688 : PATTERNA8 = 8 : PATTERNB9 = 2129419 : PATTERNC4 = 708964 : COUNT = 842
CUBE = 599077107 : PATTERNA7 = 27 : PATTERNB7 = 2134477 : PATTERNC9 = 710649 : COUNT = 843
CUBE = 601211584 : PATTERNA4 = 64 : PATTERNB1 = 2139541 : PATTERNC6 = 712336 : COUNT = 844
CUBE = 603351125 : PATTERNA5 = 125 : PATTERNB1 = 2144611 : PATTERNC5 = 714025 : COUNT = 845
CUBE = 605495736 : PATTERNA6 = 216 : PATTERNB7 = 2149687 : PATTERNC6 = 715716 : COUNT = 846
CUBE = 607645423 : PATTERNA3 = 343 : PATTERNB9 = 2154769 : PATTERNC9 = 717409 : COUNT = 847
CUBE = 609800192 : PATTERNA2 = 512 : PATTERNB7 = 2159857 : PATTERNC4 = 719104 : COUNT = 848
CUBE = 611960049 : PATTERNA9 = 729 : PATTERNB1 = 2164951 : PATTERNC1 = 720801 : COUNT = 849
CUBE = 614125000 : PATTERNA0 = 0 : PATTERNB1 = 2170051 : PATTERNC0 = 722500 : COUNT = 850
CUBE = 616295051 : PATTERNA1 = 1 : PATTERNB7 = 2175157 : PATTERNC1 = 724201 : COUNT = 851
CUBE = 618470208 : PATTERNA8 = 8 : PATTERNB9 = 2180269 : PATTERNC4 = 725904 : COUNT = 852
CUBE = 620650477 : PATTERNA7 = 27 : PATTERNB7 = 2185387 : PATTERNC9 = 727609 : COUNT = 853
CUBE = 622835864 : PATTERNA4 = 64 : PATTERNB1 = 2190511 : PATTERNC6 = 729316 : COUNT = 854
CUBE = 625026375 : PATTERNA5 = 125 : PATTERNB1 = 2195641 : PATTERNC5 = 731025 : COUNT = 855
CUBE = 627222016 : PATTERNA6 = 216 : PATTERNB7 = 2200777 : PATTERNC6 = 732736 : COUNT = 856
CUBE = 629422793 : PATTERNA3 = 343 : PATTERNB9 = 2205919 : PATTERNC9 = 734449 : COUNT = 857
CUBE = 631628712 : PATTERNA2 = 512 : PATTERNB7 = 2211067 : PATTERNC4 = 736164 : COUNT = 858
CUBE = 633839779 : PATTERNA9 = 729 : PATTERNB1 = 2216221 : PATTERNC1 = 737881 : COUNT = 859
CUBE = 636056000 : PATTERNA0 = 0 : PATTERNB1 = 2221381 : PATTERNC0 = 739600 : COUNT = 860
CUBE = 638277381 : PATTERNA1 = 1 : PATTERNB7 = 2226547 : PATTERNC1 = 741321 : COUNT = 861
CUBE = 640503928 : PATTERNA8 = 8 : PATTERNB9 = 2231719 : PATTERNC4 = 743044 : COUNT = 862
CUBE = 642735647 : PATTERNA7 = 27 : PATTERNB7 = 2236897 : PATTERNC9 = 744769 : COUNT = 863
CUBE = 644972544 : PATTERNA4 = 64 : PATTERNB1 = 2242081 : PATTERNC6 = 746496 : COUNT = 864
CUBE = 647214625 : PATTERNA5 = 125 : PATTERNB1 = 2247271 : PATTERNC5 = 748225 : COUNT = 865
CUBE = 649461896 : PATTERNA6 = 216 : PATTERNB7 = 2252467 : PATTERNC6 = 749956 : COUNT = 866
CUBE = 651714363 : PATTERNA3 = 343 : PATTERNB9 = 2257669 : PATTERNC9 = 751689 : COUNT = 867
CUBE = 653972032 : PATTERNA2 = 512 : PATTERNB7 = 2262877 : PATTERNC4 = 753424 : COUNT = 868
CUBE = 656234909 : PATTERNA9 = 729 : PATTERNB1 = 2268091 : PATTERNC1 = 755161 : COUNT = 869
CUBE = 658503000 : PATTERNA0 = 0 : PATTERNB1 = 2273311 : PATTERNC0 = 756900 : COUNT = 870
CUBE = 660776311 : PATTERNA1 = 1 : PATTERNB7 = 2278537 : PATTERNC1 = 758641 : COUNT = 871
CUBE = 663054848 : PATTERNA8 = 8 : PATTERNB9 = 2283769 : PATTERNC4 = 760384 : COUNT = 872
CUBE = 665338617 : PATTERNA7 = 27 : PATTERNB7 = 2289007 : PATTERNC9 = 762129 : COUNT = 873
CUBE = 667627624 : PATTERNA4 = 64 : PATTERNB1 = 2294251 : PATTERNC6 = 763876 : COUNT = 874
CUBE = 669921875 : PATTERNA5 = 125 : PATTERNB1 = 2299501 : PATTERNC5 = 765625 : COUNT = 875
CUBE = 672221376 : PATTERNA6 = 216 : PATTERNB7 = 2304757 : PATTERNC6 = 767376 : COUNT = 876
CUBE = 674526133 : PATTERNA3 = 343 : PATTERNB9 = 2310019 : PATTERNC9 = 769129 : COUNT = 877
CUBE = 676836152 : PATTERNA2 = 512 : PATTERNB7 = 2315287 : PATTERNC4 = 770884 : COUNT = 878
CUBE = 679151439 : PATTERNA9 = 729 : PATTERNB1 = 2320561 : PATTERNC1 = 772641 : COUNT = 879
CUBE = 681472000 : PATTERNA0 = 0 : PATTERNB1 = 2325841 : PATTERNC0 = 774400 : COUNT = 880
CUBE = 683797841 : PATTERNA1 = 1 : PATTERNB7 = 2331127 : PATTERNC1 = 776161 : COUNT = 881
CUBE = 686128968 : PATTERNA8 = 8 : PATTERNB9 = 2336419 : PATTERNC4 = 777924 : COUNT = 882
CUBE = 688465387 : PATTERNA7 = 27 : PATTERNB7 = 2341717 : PATTERNC9 = 779689 : COUNT = 883
CUBE = 690807104 : PATTERNA4 = 64 : PATTERNB1 = 2347021 : PATTERNC6 = 781456 : COUNT = 884
CUBE = 693154125 : PATTERNA5 = 125 : PATTERNB1 = 2352331 : PATTERNC5 = 783225 : COUNT = 885
CUBE = 695506456 : PATTERNA6 = 216 : PATTERNB7 = 2357647 : PATTERNC6 = 784996 : COUNT = 886
CUBE = 697864103 : PATTERNA3 = 343 : PATTERNB9 = 2362969 : PATTERNC9 = 786769 : COUNT = 887
CUBE = 700227072 : PATTERNA2 = 512 : PATTERNB7 = 2368297 : PATTERNC4 = 788544 : COUNT = 888
CUBE = 702595369 : PATTERNA9 = 729 : PATTERNB1 = 2373631 : PATTERNC1 = 790321 : COUNT = 889
CUBE = 704969000 : PATTERNA0 = 0 : PATTERNB1 = 2378971 : PATTERNC0 = 792100 : COUNT = 890
CUBE = 707347971 : PATTERNA1 = 1 : PATTERNB7 = 2384317 : PATTERNC1 = 793881 : COUNT = 891
CUBE = 709732288 : PATTERNA8 = 8 : PATTERNB9 = 2389669 : PATTERNC4 = 795664 : COUNT = 892
CUBE = 712121957 : PATTERNA7 = 27 : PATTERNB7 = 2395027 : PATTERNC9 = 797449 : COUNT = 893
CUBE = 714516984 : PATTERNA4 = 64 : PATTERNB1 = 2400391 : PATTERNC6 = 799236 : COUNT = 894
CUBE = 716917375 : PATTERNA5 = 125 : PATTERNB1 = 2405761 : PATTERNC5 = 801025 : COUNT = 895
CUBE = 719323136 : PATTERNA6 = 216 : PATTERNB7 = 2411137 : PATTERNC6 = 802816 : COUNT = 896
CUBE = 721734273 : PATTERNA3 = 343 : PATTERNB9 = 2416519 : PATTERNC9 = 804609 : COUNT = 897
CUBE = 724150792 : PATTERNA2 = 512 : PATTERNB7 = 2421907 : PATTERNC4 = 806404 : COUNT = 898
CUBE = 726572699 : PATTERNA9 = 729 : PATTERNB1 = 2427301 : PATTERNC1 = 808201 : COUNT = 899
CUBE = 729000000 : PATTERNA0 = 0 : PATTERNB1 = 2432701 : PATTERNC0 = 810000 : COUNT = 900
CUBE = 731432701 : PATTERNA1 = 1 : PATTERNB7 = 2438107 : PATTERNC1 = 811801 : COUNT = 901
CUBE = 733870808 : PATTERNA8 = 8 : PATTERNB9 = 2443519 : PATTERNC4 = 813604 : COUNT = 902
CUBE = 736314327 : PATTERNA7 = 27 : PATTERNB7 = 2448937 : PATTERNC9 = 815409 : COUNT = 903
CUBE = 738763264 : PATTERNA4 = 64 : PATTERNB1 = 2454361 : PATTERNC6 = 817216 : COUNT = 904
CUBE = 741217625 : PATTERNA5 = 125 : PATTERNB1 = 2459791 : PATTERNC5 = 819025 : COUNT = 905
CUBE = 743677416 : PATTERNA6 = 216 : PATTERNB7 = 2465227 : PATTERNC6 = 820836 : COUNT = 906
CUBE = 746142643 : PATTERNA3 = 343 : PATTERNB9 = 2470669 : PATTERNC9 = 822649 : COUNT = 907
CUBE = 748613312 : PATTERNA2 = 512 : PATTERNB7 = 2476117 : PATTERNC4 = 824464 : COUNT = 908
CUBE = 751089429 : PATTERNA9 = 729 : PATTERNB1 = 2481571 : PATTERNC1 = 826281 : COUNT = 909
CUBE = 753571000 : PATTERNA0 = 0 : PATTERNB1 = 2487031 : PATTERNC0 = 828100 : COUNT = 910
CUBE = 756058031 : PATTERNA1 = 1 : PATTERNB7 = 2492497 : PATTERNC1 = 829921 : COUNT = 911
CUBE = 758550528 : PATTERNA8 = 8 : PATTERNB9 = 2497969 : PATTERNC4 = 831744 : COUNT = 912
CUBE = 761048497 : PATTERNA7 = 27 : PATTERNB7 = 2503447 : PATTERNC9 = 833569 : COUNT = 913
CUBE = 763551944 : PATTERNA4 = 64 : PATTERNB1 = 2508931 : PATTERNC6 = 835396 : COUNT = 914
CUBE = 766060875 : PATTERNA5 = 125 : PATTERNB1 = 2514421 : PATTERNC5 = 837225 : COUNT = 915
CUBE = 768575296 : PATTERNA6 = 216 : PATTERNB7 = 2519917 : PATTERNC6 = 839056 : COUNT = 916
CUBE = 771095213 : PATTERNA3 = 343 : PATTERNB9 = 2525419 : PATTERNC9 = 840889 : COUNT = 917
CUBE = 773620632 : PATTERNA2 = 512 : PATTERNB7 = 2530927 : PATTERNC4 = 842724 : COUNT = 918
CUBE = 776151559 : PATTERNA9 = 729 : PATTERNB1 = 2536441 : PATTERNC1 = 844561 : COUNT = 919
CUBE = 778688000 : PATTERNA0 = 0 : PATTERNB1 = 2541961 : PATTERNC0 = 846400 : COUNT = 920
CUBE = 781229961 : PATTERNA1 = 1 : PATTERNB7 = 2547487 : PATTERNC1 = 848241 : COUNT = 921
CUBE = 783777448 : PATTERNA8 = 8 : PATTERNB9 = 2553019 : PATTERNC4 = 850084 : COUNT = 922
CUBE = 786330467 : PATTERNA7 = 27 : PATTERNB7 = 2558557 : PATTERNC9 = 851929 : COUNT = 923
CUBE = 788889024 : PATTERNA4 = 64 : PATTERNB1 = 2564101 : PATTERNC6 = 853776 : COUNT = 924
CUBE = 791453125 : PATTERNA5 = 125 : PATTERNB1 = 2569651 : PATTERNC5 = 855625 : COUNT = 925
CUBE = 794022776 : PATTERNA6 = 216 : PATTERNB7 = 2575207 : PATTERNC6 = 857476 : COUNT = 926
CUBE = 796597983 : PATTERNA3 = 343 : PATTERNB9 = 2580769 : PATTERNC9 = 859329 : COUNT = 927
CUBE = 799178752 : PATTERNA2 = 512 : PATTERNB7 = 2586337 : PATTERNC4 = 861184 : COUNT = 928
CUBE = 801765089 : PATTERNA9 = 729 : PATTERNB1 = 2591911 : PATTERNC1 = 863041 : COUNT = 929
CUBE = 804357000 : PATTERNA0 = 0 : PATTERNB1 = 2597491 : PATTERNC0 = 864900 : COUNT = 930
CUBE = 806954491 : PATTERNA1 = 1 : PATTERNB7 = 2603077 : PATTERNC1 = 866761 : COUNT = 931
CUBE = 809557568 : PATTERNA8 = 8 : PATTERNB9 = 2608669 : PATTERNC4 = 868624 : COUNT = 932
CUBE = 812166237 : PATTERNA7 = 27 : PATTERNB7 = 2614267 : PATTERNC9 = 870489 : COUNT = 933
CUBE = 814780504 : PATTERNA4 = 64 : PATTERNB1 = 2619871 : PATTERNC6 = 872356 : COUNT = 934
CUBE = 817400375 : PATTERNA5 = 125 : PATTERNB1 = 2625481 : PATTERNC5 = 874225 : COUNT = 935
CUBE = 820025856 : PATTERNA6 = 216 : PATTERNB7 = 2631097 : PATTERNC6 = 876096 : COUNT = 936
CUBE = 822656953 : PATTERNA3 = 343 : PATTERNB9 = 2636719 : PATTERNC9 = 877969 : COUNT = 937
CUBE = 825293672 : PATTERNA2 = 512 : PATTERNB7 = 2642347 : PATTERNC4 = 879844 : COUNT = 938
CUBE = 827936019 : PATTERNA9 = 729 : PATTERNB1 = 2647981 : PATTERNC1 = 881721 : COUNT = 939
CUBE = 830584000 : PATTERNA0 = 0 : PATTERNB1 = 2653621 : PATTERNC0 = 883600 : COUNT = 940
CUBE = 833237621 : PATTERNA1 = 1 : PATTERNB7 = 2659267 : PATTERNC1 = 885481 : COUNT = 941
CUBE = 835896888 : PATTERNA8 = 8 : PATTERNB9 = 2664919 : PATTERNC4 = 887364 : COUNT = 942
CUBE = 838561807 : PATTERNA7 = 27 : PATTERNB7 = 2670577 : PATTERNC9 = 889249 : COUNT = 943
CUBE = 841232384 : PATTERNA4 = 64 : PATTERNB1 = 2676241 : PATTERNC6 = 891136 : COUNT = 944
CUBE = 843908625 : PATTERNA5 = 125 : PATTERNB1 = 2681911 : PATTERNC5 = 893025 : COUNT = 945
CUBE = 846590536 : PATTERNA6 = 216 : PATTERNB7 = 2687587 : PATTERNC6 = 894916 : COUNT = 946
CUBE = 849278123 : PATTERNA3 = 343 : PATTERNB9 = 2693269 : PATTERNC9 = 896809 : COUNT = 947
CUBE = 851971392 : PATTERNA2 = 512 : PATTERNB7 = 2698957 : PATTERNC4 = 898704 : COUNT = 948
CUBE = 854670349 : PATTERNA9 = 729 : PATTERNB1 = 2704651 : PATTERNC1 = 900601 : COUNT = 949
CUBE = 857375000 : PATTERNA0 = 0 : PATTERNB1 = 2710351 : PATTERNC0 = 902500 : COUNT = 950
CUBE = 860085351 : PATTERNA1 = 1 : PATTERNB7 = 2716057 : PATTERNC1 = 904401 : COUNT = 951
CUBE = 862801408 : PATTERNA8 = 8 : PATTERNB9 = 2721769 : PATTERNC4 = 906304 : COUNT = 952
CUBE = 865523177 : PATTERNA7 = 27 : PATTERNB7 = 2727487 : PATTERNC9 = 908209 : COUNT = 953
CUBE = 868250664 : PATTERNA4 = 64 : PATTERNB1 = 2733211 : PATTERNC6 = 910116 : COUNT = 954
CUBE = 870983875 : PATTERNA5 = 125 : PATTERNB1 = 2738941 : PATTERNC5 = 912025 : COUNT = 955
CUBE = 873722816 : PATTERNA6 = 216 : PATTERNB7 = 2744677 : PATTERNC6 = 913936 : COUNT = 956
CUBE = 876467493 : PATTERNA3 = 343 : PATTERNB9 = 2750419 : PATTERNC9 = 915849 : COUNT = 957
CUBE = 879217912 : PATTERNA2 = 512 : PATTERNB7 = 2756167 : PATTERNC4 = 917764 : COUNT = 958
CUBE = 881974079 : PATTERNA9 = 729 : PATTERNB1 = 2761921 : PATTERNC1 = 919681 : COUNT = 959
CUBE = 884736000 : PATTERNA0 = 0 : PATTERNB1 = 2767681 : PATTERNC0 = 921600 : COUNT = 960
CUBE = 887503681 : PATTERNA1 = 1 : PATTERNB7 = 2773447 : PATTERNC1 = 923521 : COUNT = 961
CUBE = 890277128 : PATTERNA8 = 8 : PATTERNB9 = 2779219 : PATTERNC4 = 925444 : COUNT = 962
CUBE = 893056347 : PATTERNA7 = 27 : PATTERNB7 = 2784997 : PATTERNC9 = 927369 : COUNT = 963
CUBE = 895841344 : PATTERNA4 = 64 : PATTERNB1 = 2790781 : PATTERNC6 = 929296 : COUNT = 964
CUBE = 898632125 : PATTERNA5 = 125 : PATTERNB1 = 2796571 : PATTERNC5 = 931225 : COUNT = 965
CUBE = 901428696 : PATTERNA6 = 216 : PATTERNB7 = 2802367 : PATTERNC6 = 933156 : COUNT = 966
CUBE = 904231063 : PATTERNA3 = 343 : PATTERNB9 = 2808169 : PATTERNC9 = 935089 : COUNT = 967
CUBE = 907039232 : PATTERNA2 = 512 : PATTERNB7 = 2813977 : PATTERNC4 = 937024 : COUNT = 968
CUBE = 909853209 : PATTERNA9 = 729 : PATTERNB1 = 2819791 : PATTERNC1 = 938961 : COUNT = 969
CUBE = 912673000 : PATTERNA0 = 0 : PATTERNB1 = 2825611 : PATTERNC0 = 940900 : COUNT = 970
CUBE = 915498611 : PATTERNA1 = 1 : PATTERNB7 = 2831437 : PATTERNC1 = 942841 : COUNT = 971
CUBE = 918330048 : PATTERNA8 = 8 : PATTERNB9 = 2837269 : PATTERNC4 = 944784 : COUNT = 972
CUBE = 921167317 : PATTERNA7 = 27 : PATTERNB7 = 2843107 : PATTERNC9 = 946729 : COUNT = 973
CUBE = 924010424 : PATTERNA4 = 64 : PATTERNB1 = 2848951 : PATTERNC6 = 948676 : COUNT = 974
CUBE = 926859375 : PATTERNA5 = 125 : PATTERNB1 = 2854801 : PATTERNC5 = 950625 : COUNT = 975
CUBE = 929714176 : PATTERNA6 = 216 : PATTERNB7 = 2860657 : PATTERNC6 = 952576 : COUNT = 976
CUBE = 932574833 : PATTERNA3 = 343 : PATTERNB9 = 2866519 : PATTERNC9 = 954529 : COUNT = 977
CUBE = 935441352 : PATTERNA2 = 512 : PATTERNB7 = 2872387 : PATTERNC4 = 956484 : COUNT = 978
CUBE = 938313739 : PATTERNA9 = 729 : PATTERNB1 = 2878261 : PATTERNC1 = 958441 : COUNT = 979
CUBE = 941192000 : PATTERNA0 = 0 : PATTERNB1 = 2884141 : PATTERNC0 = 960400 : COUNT = 980
CUBE = 944076141 : PATTERNA1 = 1 : PATTERNB7 = 2890027 : PATTERNC1 = 962361 : COUNT = 981
CUBE = 946966168 : PATTERNA8 = 8 : PATTERNB9 = 2895919 : PATTERNC4 = 964324 : COUNT = 982
CUBE = 949862087 : PATTERNA7 = 27 : PATTERNB7 = 2901817 : PATTERNC9 = 966289 : COUNT = 983
CUBE = 952763904 : PATTERNA4 = 64 : PATTERNB1 = 2907721 : PATTERNC6 = 968256 : COUNT = 984
CUBE = 955671625 : PATTERNA5 = 125 : PATTERNB1 = 2913631 : PATTERNC5 = 970225 : COUNT = 985
CUBE = 958585256 : PATTERNA6 = 216 : PATTERNB7 = 2919547 : PATTERNC6 = 972196 : COUNT = 986
CUBE = 961504803 : PATTERNA3 = 343 : PATTERNB9 = 2925469 : PATTERNC9 = 974169 : COUNT = 987
CUBE = 964430272 : PATTERNA2 = 512 : PATTERNB7 = 2931397 : PATTERNC4 = 976144 : COUNT = 988
CUBE = 967361669 : PATTERNA9 = 729 : PATTERNB1 = 2937331 : PATTERNC1 = 978121 : COUNT = 989
CUBE = 970299000 : PATTERNA0 = 0 : PATTERNB1 = 2943271 : PATTERNC0 = 980100 : COUNT = 990
CUBE = 973242271 : PATTERNA1 = 1 : PATTERNB7 = 2949217 : PATTERNC1 = 982081 : COUNT = 991
CUBE = 976191488 : PATTERNA8 = 8 : PATTERNB9 = 2955169 : PATTERNC4 = 984064 : COUNT = 992
CUBE = 979146657 : PATTERNA7 = 27 : PATTERNB7 = 2961127 : PATTERNC9 = 986049 : COUNT = 993
CUBE = 982107784 : PATTERNA4 = 64 : PATTERNB1 = 2967091 : PATTERNC6 = 988036 : COUNT = 994
CUBE = 985074875 : PATTERNA5 = 125 : PATTERNB1 = 2973061 : PATTERNC5 = 990025 : COUNT = 995
CUBE = 988047936 : PATTERNA6 = 216 : PATTERNB7 = 2979037 : PATTERNC6 = 992016 : COUNT = 996
CUBE = 991026973 : PATTERNA3 = 343 : PATTERNB9 = 2985019 : PATTERNC9 = 994009 : COUNT = 997
CUBE = 994011992 : PATTERNA2 = 512 : PATTERNB7 = 2991007 : PATTERNC4 = 996004 : COUNT = 998
CUBE = 997002999 : PATTERNA9 = 729 : PATTERNB1 = 2997001 : PATTERNC1 = 998001 : COUNT = 999
CUBE = 1000000000 : PATTERNA0 = 0 : PATTERNB1 = 3003001 : PATTERNC0 = 1000000 : COUNT = 1000

phrontister · 2024-04-01 04:29:09

Hi AnthonyRBrown;

AnthonyRBrown (Post #1) wrote:

Now if we want to find out if a group of any ten numbers are cube numbers,the ten numbers must pass the three tests,they must conform to the patterns A,B,C and at the same time if we want to test if any single number is a cube number,this can be done by finding if it fits in with the nine cube numbers that are related to it,as part of its own group!.
PATTERN (A) = 1,8,7,4,5,6,3,2,9,0 in brackets ()
PATTERN (B) = 7,9,7,1,1,7,9,7,1 in brackets ()
PATTERN (C) = 1,4,9,6,5,6,9,4,1,0 in brackets ()

I've run some tests in Mathematica and Excel, and they show that your series of three Pattern A,B,C tests on groups of ten cube numbers are identical to mine on groups of ten non-cube numbers that are powers of 3 plus a multiple of 4: eg, powers 7 (ie, 3+4x1), 11 (3+4x2), 15 (3+4x3), 19(3+4x4), 23(3+4x5), etc, etc......ad infinitum.

The fact that your Pattern A,B,C test method gives identical results for both cube numbers and non-cube numbers means that it is not a valid test for finding if a number is a cube or not.

See my test results below:

AnthonyRBrown · 2024-04-01 08:22:32

This has already been shown before with (Xn,Yn,Zn) n < 3

Just because you can show some other numbers that end with the Patterns A,B,C they mean nothing if they are not related to the problem,my Patterns for A,B,C are shown to be cube numbers,which are related to the Original problem below..

The Problem is as follows...

Are there any whole numbers e.g (x,y,z) cube numbers
where x3 + y3 = z3 NOTICE = (Xn,Yn,Zn) n Must be greater than (2)

an example that does not work is given below "
x = 64 cube y = 64 cube Z = 125 cube X + Y = 128 (+ 3) > Z

Below is a good example like what you are putting forward that proves FLT is wrong? but it is not a counter proof because it's not related to the Original problem in any way!

If you could use zero?? then the answer would be
x = 0 y = 0 z = 0 simple! X + Y = Z

phrontister · 2024-04-09 15:36:38

Hi AnthonyRBrown;

AnthonyRBrown wrote:

...like what you are putting forward that proves FLT is wrong? but it is not a counter proof because it's not related to the Original problem in any way!

I'm simply pointing out a discovery I made about cube numbers and a particular sequence of non-cube numbers: that both sets of numbers satisfy the A,B,C Patterns. I had thought that your Patterns only applied to cubes.

A couple of things about your program:
1. I don't fully understand your code, but the upper accuracy limit appears to be 16 digits, which would mean that it probably can't tell if a greater-than-16-digit-number is a cube or not: eg, can it identify the cube in the following two numbers? (one is a cube, the other is a non-cube power, the two numbers are from different groups of ten and are the first number in their group, and both groups satisfy the A,B,C Patterns):
1234570577558077903820610782563862681159521;
1234570577558058492212429272138645554498496.

2. I tested the accuracy of FERMFILE's contents, and all was good until 208065^3, which returned 9007351116674624. That is obviously incorrect, as the units digit must be 5.
(a) Thereafter, every second cube was out by +/- 1: eg,

208067^3 = 9007610865436764 (should end in 3)
208068^3 = 9007740741690432 ok
208069^3 = 9007870619192508 (should end in 9)
208070^3 = 9008000497943000 ok
208071^3 = 9008130377941912 (should end in 1)
208072^3 = 9008260259189248 ok
208073^3 = 9008390141685016 (should end in 7)
208074^3 = 9008520025429224 ok
208075^3 = 9008649910421876 (should end in 5)

There are 3706 errors from 208065^3 to 215443^3 (9999934692543307), which is the highest cube before the start of the 16-digit overflow that is denoted by "D+16" (etc).

Btw, FERMFILE gave the same results after a computer cold restart.

Last edited by phrontister (2024-04-10 00:25:12)

AnthonyRBrown · 2024-04-10 11:18:46

The FLT Demonstration program I made was made FREE! on a budget! It satisfies to show the Three Patterns A,B,C for the accuracy of the program up to certain level.

For anyone wishing to take it further? then please pay for the time on a Super Computer?

Professional Mathematicians have had to do so regarding the work they have been doing like calculating Pi.

I am not in a position to do that,and I don't have the time to do it,I am sure there is someone out there who is willing to test my Three Patterns A,B,C as they get closer to the end of Infinity??? smile

Even more pi in the sky: Calculating 100 trillion digits of pi on Google Cloud...

Pi in the sky: Calculating a record-breaking 31.4 trillion digits of Archimedes’ constant on Google Cloud...

https://cloud.google.com/blog/products/compute/calculating-31-4-trillion-digits-of-archimedes-constant-on-google-cloud

For what it's worth? you wrote...

(one is a cube, the other is a non-cube power, the two numbers are from different groups of ten and are the first number in their group, and both groups satisfy the A,B,C Patterns):

1234570577558077903820610782563862681159521
1234570577558058492212429272138645554498496

Your first group of 10 numbers?

(1) 1234570577558077903820610782563862681159521

Below show us the next 9 in your group of 10 ?

(2)?
(3)?
(4)?
(5)?
(6)?
(7)?
(8)?
(9)?
(10)?

Your Second group of 10 numbers? are already wrong! with the first number..

(1) 1234570577558058492212429272138645554498496 The (6) at the end does not match Pattern A,B,or C as a first number in a group of 10

Below show us the next 9 in your group of 10 ?

(2)?
(3)?
(4)?
(5)?
(6)?
(7)?
(8)?
(9)?
(10)?

PATTERN (A) = 1,8,7,4,5,6,3,2,9,0 in brackets ()

PATTERN (B) = 7,9,7,1,1,7,9,7,1 in brackets ()

PATTERN (C) = 1,4,9,6,5,6,9,4,1,0 in brackets ()

Last edited by AnthonyRBrown (2024-04-10 11:31:59)

phrontister · 2024-04-10 15:15:30

AnthonyRBrown wrote:

The FLT Demonstration program I made was made FREE! on a budget! It satisfies to show the Three Patterns A,B,C for the accuracy of the program up to certain level.
For anyone wishing to take it further? then please pay for the time on a Super Computer?
Professional Mathematicians have had to do so regarding the work they have been doing like calculating Pi.
I am not in a position to do that,and I don't have the time to do it,I am sure there is someone out there who is willing to test my Three Patterns A,B,C as they get closer to the end of Infinity???

Your reply to my post misses the mark on what I said there, but maybe I didn't express my thoughts clearly enough...

Just to clarify, the points in my post were:
1. That I had mistakenly thought that your Patterns only applied to cubes, whereas they also apply to a particular pattern of non-cubes.
2. That I didn't fully understand your code and wondered if it could handle large numbers such as the examples I gave. However, I do understand that your program is just a demonstration for an infinite maths problem, and therefore I was not at all suggesting that you increase its upper limits if my two numbers were beyond your program's reach.
3. I mentioned the errors in FERMFILE's output in case you were unaware of them and would like to correct your code.

AnthonyRBrown wrote:

For what it's worth? you wrote...
(one is a cube, the other is a non-cube power, the two numbers are from different groups of ten and are the first number in their group, and both groups satisfy the A,B,C Patterns):

1234570577558077903820610782563862681159521
1234570577558058492212429272138645554498496

Your Second group of 10 numbers? are already wrong! with the first number..

Sorry...grabbed the wrong number (careless!). Should've been 1234570577557885867934842042214716618784231

The first group of 10 numbers:

(1) 1234570577558077903820610782563862681159521
(2) 1234578963300600764248728267290289327790208
(3) 1234587349091946113381524138491336181010667
(4) 1234595734932114188092585109001774777647104
(5) 1234604120821105225256417288321736157578125
(6) 1234612506758919461748446185293104905117056
(7) 1234620892745557134445016710775918384436823
(8) 1234629278781018480223393180324771169042432
(9) 1234637664865303735961759316865224665296089
(10) 1234646050998413138539218253370221930000000

The second group of 10 numbers:

(1) 1234570577557885867934842042214716618784231
(2) 1234570577557920392790359486912182296227328
(3) 1234570577557954917645876932253308028520297
(4) 1234570577557989442501394378238093815663144
(5) 1234570577558023967356911824866539657655875
(6) 1234570577558058492212429272138645554498496
(7) 1234570577558093017067946720054411506191013
(8) 1234570577558127541923464168613837512733432
(9) 1234570577558162066778981617816923574125759
(10) 1234570577558196591634499067663669690368000

AnthonyRBrown wrote:

PATTERN (B) = 7,9,7,1,1,7,9,7,1 in brackets ()

Shouldn't that be PATTERN (B) = 7,9,7,1,1,7,9,7,1,1 in brackets () ?

Last edited by phrontister (2024-04-10 21:32:29)

AnthonyRBrown · 2024-04-10 22:10:27

Your first (10) Numbers Pass as PATTERN (A) = 1,8,7,4,5,6,3,2,9,0 in brackets ()

123457057755807790382061078256386268115952(1)
123457896330060076424872826729028932779020(8)
123458734909194611338152413849133618101066(7)
123459573493211418809258510900177477764710(4)
123460412082110522525641728832173615757812(5)
123461250675891946174844618529310490511705(6)
123462089274555713444501671077591838443682(3)
123462927878101848022339318032477116904243(2)
123463766486530373596175931686522466529608(9)
123464605099841313853921825337022193000000(0)

Your Second (10) Numbers Pass as PATTERN (A) = 1,8,7,4,5,6,3,2,9,0 in brackets ()

123457057755788586793484204221471661878423(1)
123457057755792039279035948691218229622732(8)
123457057755795491764587693225330802852029(7)
123457057755798944250139437823809381566314(4)
123457057755802396735691182486653965765587(5)
123457057755805849221242927213864555449849(6)
123457057755809301706794672005441150619101(3)
123457057755812754192346416861383751273343(2)
123457057755816206677898161781692357412575(9)
123457057755819659163449906766366969036800(0)

Your first (10) Numbers let's see if they Pass as PATTERN (B) = 7,9,7,1,1,7,9,7,1 in brackets ()

1234570577558077903820610782563862681159521
DIFFERENCE = 8.385742522817317e+36 : PATTERN B = (7)?
1234578963300600764248728267290289327790208
DIFFERENCE = 8.385791345315556e+36 : PATTERN B = (9)?
1234587349091946113381524138491336181010667
DIFFERENCE = 8.385840168123281e+36 : PATTERN B = (7)?
1234595734932114188092585109001774777647104
DIFFERENCE = 8.385888990931005e+36 : PATTERN B = (1)?
1234604120821105225256417288321736157578125
DIFFERENCE = 8.3859378143577e+36 : PATTERN B = (1)?
1234612506758919461748446185293104905117056
DIFFERENCE = 8.385986637629651e+36 : PATTERN B = (7)?
1234620892745557134445016710775918384436823
DIFFERENCE = 8.386035461365831e+36 : PATTERN B = (9)?
1234629278781018480223393180324771169042432
DIFFERENCE = 8.386084285256753e+36 : PATTERN B = (7)?
1234637664865303735961759316865224665296089
DIFFERENCE = 8.386133109302417e+36 : PATTERN B = (1)?
1234646050998413138539218253370221930000000

Your Second (10) Numbers let's see if they Pass as PATTERN (B) = 7,9,7,1,1,7,9,7,1 in brackets ()

1234570577557885867934842042214716618784231
DIFFERENCE = 3.4507578595079975e+28 : PATTERN B = (7)?
1234570577557920392790359486912182296227328
DIFFERENCE = 3.4507578595079975e+28 : PATTERN B = (9)?
1234570577557954917645876932253308028520297
DIFFERENCE = 3.4507578595079975e+28 : PATTERN B = (7)?
1234570577557989442501394378238093815663144
DIFFERENCE = 3.4507578595079975e+28 : PATTERN B = (1)?
1234570577558023967356911824866539657655875
DIFFERENCE = 3.4507578595079975e+28 : PATTERN B = (1)?
1234570577558058492212429272138645554498496
DIFFERENCE = 3.4507578595079975e+28 : PATTERN B = (7)?
1234570577558093017067946720054411506191013
DIFFERENCE = 3.4507578595079975e+28 : PATTERN B = (9)?
1234570577558127541923464168613837512733432
DIFFERENCE = 3.4507578595079975e+28 : PATTERN B = (7)?
1234570577558162066778981617816923574125759
DIFFERENCE = 3.4662321099990648e+28 : PATTERN B = (1)?
1234570577558196591634499067663669690368000

Your first (10) Numbers let's see if they Pass as PATTERN (C) = 1,4,9,6,5,6,9,4,1,0 in brackets ()

1234570577558077903820610782563862681159521 : DIVIDE COUNT 1 = 1.234570577558078e+42 (1)?
1234578963300600764248728267290289327790208 : DIVIDE COUNT 2 = 6.172894816503004e+41 (4)?
1234587349091946113381524138491336181010667 : DIVIDE COUNT 3 = 4.11529116363982e+41 (9)?
1234595734932114188092585109001774777647104 : DIVIDE COUNT 4 = 3.0864893373302856e+41 (6)?
1234604120821105225256417288321736157578125 : DIVIDE COUNT 5 = 2.4692082416422102e+41 (5)?
1234612506758919461748446185293104905117056 : DIVIDE COUNT 6 = 2.057687511264866e+41 (6)?
1234620892745557134445016710775918384436823 : DIVIDE COUNT 7 = 1.7637441324936532e+41 (9)?
1234629278781018480223393180324771169042432 : DIVIDE COUNT 8 = 1.5432865984762731e+41 (4)?
1234637664865303735961759316865224665296089 : DIVIDE COUNT 9 = 1.3718196276281153e+41 (1)?
1234646050998413138539218253370221930000000 : DIVIDE COUNT 10 = 1.2346460509984131e+41 (0)?

Your Second (10) Numbers let's see if they Pass as PATTERN (C) = 1,4,9,6,5,6,9,4,1,0 in brackets ()

1234570577557885867934842042214716618784231 : DIVIDE COUNT 1 = 1.234570577557886e+42 (1)?
1234570577557920392790359486912182296227328 : DIVIDE COUNT 2 = 6.172852887789602e+41 (4)?
1234570577557954917645876932253308028520297 : DIVIDE COUNT 3 = 4.1152352585265165e+41 (9)?
1234570577557989442501394378238093815663144 : DIVIDE COUNT 4 = 3.0864264438949736e+41 (6)?
1234570577558023967356911824866539657655875 : DIVIDE COUNT 5 = 2.4691411551160478e+41 (5)?
1234570577558058492212429272138645554498496 : DIVIDE COUNT 6 = 2.0576176292634308e+41 (6)?
1234570577558093017067946720054411506191013 : DIVIDE COUNT 7 = 1.7636722536544184e+41 (9)?
1234570577558127541923464168613837512733432 : DIVIDE COUNT 8 = 1.5432132219476594e+41 (4)?
1234570577558162066778981617816923574125759 : DIVIDE COUNT 9 = 1.3717450861757356e+41 (1)?
1234570577558196591634499067663669690368000 : DIVIDE COUNT 10 = 1.2345705775581966e+41 (0)?

I really hope after this no one will Question my Genius! unless they have a very good counter proof to my FLT DEMONSTRATION (SOLVED 1998)

A.R.B

phrontister · 2024-04-11 02:48:19

AnthonyRBrown wrote:

Your First (10) Numbers let's see if they Pass as PATTERN (B) = 7,9,7,1,1,7,9,7,1 in brackets ()
1234570577558077903820610782563862681159521
DIFFERENCE = 8.385742522817317e+36 : PATTERN B = (7)?
1234578963300600764248728267290289327790208
DIFFERENCE = 8.385791345315556e+36 : PATTERN B = (9)?
1234587349091946113381524138491336181010667
DIFFERENCE = 8.385840168123281e+36 : PATTERN B = (7)?
1234595734932114188092585109001774777647104
DIFFERENCE = 8.385888990931005e+36 : PATTERN B = (1)?
1234604120821105225256417288321736157578125
DIFFERENCE = 8.3859378143577e+36 : PATTERN B = (1)?
1234612506758919461748446185293104905117056
DIFFERENCE = 8.385986637629651e+36 : PATTERN B = (7)?
1234620892745557134445016710775918384436823
DIFFERENCE = 8.386035461365831e+36 : PATTERN B = (9)?
1234629278781018480223393180324771169042432
DIFFERENCE = 8.386084285256753e+36 : PATTERN B = (7)?
1234637664865303735961759316865224665296089
DIFFERENCE = 8.386133109302417e+36 : PATTERN B = (1)?
1234646050998413138539218253370221930000000

Your Second (10) Numbers let's see if they Pass as PATTERN (B) = 7,9,7,1,1,7,9,7,1 in brackets ()
1234570577557885867934842042214716618784231
DIFFERENCE = 3.4507578595079975e+28 : PATTERN B = (7)?
1234570577557920392790359486912182296227328
DIFFERENCE = 3.4507578595079975e+28 : PATTERN B = (9)?
1234570577557954917645876932253308028520297
DIFFERENCE = 3.4507578595079975e+28 : PATTERN B = (7)?
1234570577557989442501394378238093815663144
DIFFERENCE = 3.4507578595079975e+28 : PATTERN B = (1)?
1234570577558023967356911824866539657655875
DIFFERENCE = 3.4507578595079975e+28 : PATTERN B = (1)?
1234570577558058492212429272138645554498496
DIFFERENCE = 3.4507578595079975e+28 : PATTERN B = (7)?
1234570577558093017067946720054411506191013
DIFFERENCE = 3.4507578595079975e+28 : PATTERN B = (9)?
1234570577558127541923464168613837512733432
DIFFERENCE = 3.4507578595079975e+28 : PATTERN B = (7)?
1234570577558162066778981617816923574125759
DIFFERENCE = 3.4662321099990648e+28 : PATTERN B = (1)?
1234570577558196591634499067663669690368000

Your First (10) Numbers let's see if they Pass as PATTERN (C) = 1,4,9,6,5,6,9,4,1,0 in brackets ()
1234570577558077903820610782563862681159521 : DIVIDE COUNT 1 = 1.234570577558078e+42 (1)?
1234578963300600764248728267290289327790208 : DIVIDE COUNT 2 = 6.172894816503004e+41 (4)?
1234587349091946113381524138491336181010667 : DIVIDE COUNT 3 = 4.11529116363982e+41 (9)?
1234595734932114188092585109001774777647104 : DIVIDE COUNT 4 = 3.0864893373302856e+41 (6)?
1234604120821105225256417288321736157578125 : DIVIDE COUNT 5 = 2.4692082416422102e+41 (5)?
1234612506758919461748446185293104905117056 : DIVIDE COUNT 6 = 2.057687511264866e+41 (6)?
1234620892745557134445016710775918384436823 : DIVIDE COUNT 7 = 1.7637441324936532e+41 (9)?
1234629278781018480223393180324771169042432 : DIVIDE COUNT 8 = 1.5432865984762731e+41 (4)?
1234637664865303735961759316865224665296089 : DIVIDE COUNT 9 = 1.3718196276281153e+41 (1)?
1234646050998413138539218253370221930000000 : DIVIDE COUNT 10 = 1.2346460509984131e+41 (0)?

Your Second (10) Numbers let's see if they Pass as PATTERN (C) = 1,4,9,6,5,6,9,4,1,0 in brackets ()
1234570577557885867934842042214716618784231 : DIVIDE COUNT 1 = 1.234570577557886e+42 (1)?
1234570577557920392790359486912182296227328 : DIVIDE COUNT 2 = 6.172852887789602e+41 (4)?
1234570577557954917645876932253308028520297 : DIVIDE COUNT 3 = 4.1152352585265165e+41 (9)?
1234570577557989442501394378238093815663144 : DIVIDE COUNT 4 = 3.0864264438949736e+41 (6)?
1234570577558023967356911824866539657655875 : DIVIDE COUNT 5 = 2.4691411551160478e+41 (5)?
1234570577558058492212429272138645554498496 : DIVIDE COUNT 6 = 2.0576176292634308e+41 (6)?
1234570577558093017067946720054411506191013 : DIVIDE COUNT 7 = 1.7636722536544184e+41 (9)?
1234570577558127541923464168613837512733432 : DIVIDE COUNT 8 = 1.5432132219476594e+41 (4)?
1234570577558162066778981617816923574125759 : DIVIDE COUNT 9 = 1.3717450861757356e+41 (1)?
1234570577558196591634499067663669690368000 : DIVIDE COUNT 10 = 1.2345705775581966e+41 (0)?

You've made numerous errors in the above calculations, and I've shown the correct figures below.

All my calculations were made in Mathematica, and I've confirmed a random selection of them with a high-precision calculator (freeware) I have that is accurate to 10051 digits.

Your Pattern (B) errors: All of your DIFFERENCE entries are incorrect for 2 reasons:
1. Absolute accuracy is required for all digits (right up to and including the units digit), but you have used the 16-digit overflow notation of e+36 and e+28 that truncates accuracy to only the first 16 digits.
2. In your 'First (10) Numbers' group, only the first 10 or so digits are correct, while in your 'Second (10) Numbers' group only the first 3 digits are correct (except the last, which has just 2).

Your Pattern (C) errors: All of your entries are incorrect for 2 reasons:
1. Absolute accuracy is required for all digits (right up to and including the units digit), but you have used the 16-digit overflow notation of e+41 and e+42 that truncates accuracy to only the first 16 digits.
2. In both groups of 10 numbers, you've used the wrong DIVIDE COUNT of 1 to 10. The correct divisor in each case is the nth position of the base number in the list of numbers to be cubed. In the case of the 'First (10) Numbers' group, the base numbers are 1030561 to 1030570, and in the case of the 'Second (10) Numbers' group, the base numbers are 107276675808311 to 107276675808320.

See your post #1:

AnthonyRBrown wrote:

Now we move on to pattern (C) this pattern is made by dividing the actual COUNT position,in relation to where the cube numbers are from the start onwards!

====================================================================================================

The following are my corrected entries:

Your First (10) Numbers Pass as PATTERN (B) = 7,9,7,1,1,7,9,7,1 in brackets ()

1234570577558077903820610782563862681159521
DIFFERENCE = 8385742522860428117484726426646630687: PATTERN B = (7)
1234578963300600764248728267290289327790208
DIFFERENCE = 8385791345349132795871201046853220459: PATTERN B = (9)
1234587349091946113381524138491336181010667
DIFFERENCE = 8385840168074711060970510438596636437: PATTERN B = (7)
1234595734932114188092585109001774777647104
DIFFERENCE = 8385888991037163832179319961379931021: PATTERN B = (1)
1234604120821105225256417288321736157578125
DIFFERENCE = 8385937814236492028896971368747538931: PATTERN B = (1)
1234612506758919461748446185293104905117056
DIFFERENCE = 8385986637672696570525482813479319767: PATTERN B = (7)
1234620892745557134445016710775918384436823
DIFFERENCE = 8386035461345778376469548852784605609: PATTERN B = (9)
1234629278781018480223393180324771169042432
DIFFERENCE = 8386084285255738366136540453496253657: PATTERN B = (7)
1234637664865303735961759316865224665296089
DIFFERENCE = 8386133109402577458936504997264703911: PATTERN B = (1)
1234646050998413138539218253370221930000000

Your Second (10) Numbers Pass as PATTERN (B) = 7,9,7,1,1,7,9,7,1 in brackets ()

1234570577557885867934842042214716618784231
DIFFERENCE = 34524855517444697465677443097: PATTERN B = (7)
1234570577557920392790359486912182296227328
DIFFERENCE = 34524855517445341125732292969: PATTERN B = (9)
1234570577557954917645876932253308028520297
DIFFERENCE = 34524855517445984785787142847: PATTERN B = (7)
1234570577557989442501394378238093815663144
DIFFERENCE = 34524855517446628445841992731: PATTERN B = (1)
1234570577558023967356911824866539657655875
DIFFERENCE = 34524855517447272105896842621: PATTERN B = (1)
1234570577558058492212429272138645554498496
DIFFERENCE = 34524855517447915765951692517: PATTERN B = (7)
1234570577558093017067946720054411506191013
DIFFERENCE = 34524855517448559426006542419: PATTERN B = (9)
1234570577558127541923464168613837512733432
DIFFERENCE = 34524855517449203086061392327: PATTERN B = (7)
1234570577558162066778981617816923574125759
DIFFERENCE = 34524855517449846746116242241: PATTERN B = (1)
1234570577558196591634499067663669690368000

Your First (10) Numbers Pass as PATTERN (C) = 1,4,9,6,5,6,9,4,1,0 in brackets ()

1234570577558077903820610782563862681159521 : DIVIDE COUNT 1030561 = 1197959730242147630097209949303207361 (1)
1234578963300600764248728267290289327790208 : DIVIDE COUNT 1030562 = 1197966704866471657453630414560491584 (4)
1234587349091946113381524138491336181010667 : DIVIDE COUNT 1030563 = 1197973679524634702955107197222621209 (9)
1234595734932114188092585109001774777647104 : DIVIDE COUNT 1030564 = 1197980654216636897943829892177268736 (6)
1234604120821105225256417288321736157578125 : DIVIDE COUNT 1030565 = 1197987628942478373762370435947015625 (5)
1234612506758919461748446185293104905117056 : DIVIDE COUNT 1030566 = 1197994603702159261753683107431358016 (6)
1234620892745557134445016710775918384436823 : DIVIDE COUNT 1030567 = 1198001578495679693261104528648713169 (9)
1234629278781018480223393180324771169042432 : DIVIDE COUNT 1030568 = 1198008553323039799628353665478426624 (4)
1234637664865303735961759316865224665296089 : DIVIDE COUNT 1030569 = 1198015528184239712199531828402780081 (1)
1234646050998413138539218253370221930000000 : DIVIDE COUNT 1030570 = 1198022503079279562319122673249000000 (0)

Your Second (10) Numbers Pass as PATTERN (C) = 1,4,9,6,5,6,9,4,1,0 in brackets ()

1234570577557885867934842042214716618784231 : DIVIDE COUNT 107276675808311 = 11508285172481458545216672721 (1)
1234570577557920392790359486912182296227328 : DIVIDE COUNT 107276675808312 = 11508285172481673098568289344 (4)
1234570577557954917645876932253308028520297 : DIVIDE COUNT 107276675808313 = 11508285172481887651919905969 (9)
1234570577557989442501394378238093815663144 : DIVIDE COUNT 107276675808314 = 11508285172482102205271522596 (6)
1234570577558023967356911824866539657655875 : DIVIDE COUNT 107276675808315 = 11508285172482316758623139225 (5)
1234570577558058492212429272138645554498496 : DIVIDE COUNT 107276675808316 = 11508285172482531311974755856 (6)
1234570577558093017067946720054411506191013 : DIVIDE COUNT 107276675808317 = 11508285172482745865326372489 (9)
1234570577558127541923464168613837512733432 : DIVIDE COUNT 107276675808318 = 11508285172482960418677989124 (4)
1234570577558162066778981617816923574125759 : DIVIDE COUNT 107276675808319 = 11508285172483174972029605761 (1)
1234570577558196591634499067663669690368000 : DIVIDE COUNT 107276675808320 = 11508285172483389525381222400 (0)

AnthonyRBrown · 2024-04-11 07:31:13

The reason my calculations are wrong? is because you keep making mistakes and putting forward the wrong information/numbers...

You put forward the wrong number below...

1234570577558058492212429272138645554498496 ?

And then said...

Sorry...grabbed the wrong number (careless!). Should've been 1234570577557885867934842042214716618784231

The biggest mistake you made is that you said...

the two numbers are from different groups of ten and are the first number in their group, and both groups satisfy the A,B,C Patterns)

So the first number in their group means for Pattern C DIVIDE COUNT = 1 and then the next DIVIDE COUNT'S to 10

And now you are giving a much higher DIVIDE COUNT 107276675808311 for the first ?

MY CUBE NUMBER PROGRAM! with the Patterns A,B,C Shows if a group of 10 numbers are Cube numbers! but it also shows all the Cube numbers from the first 10,for as far as it's possible to calculate,Which is where we can find out if a group of 10 numbers are cubes or not?

Below are the first 10 Cube numbers!...

CUBE = 1 : PATTERNA1 = 1 : PATTERNB7 = 7 : PATTERNC1 = 1 : COUNT = 1
CUBE = 8 : PATTERNA8 = 8 : PATTERNB9 = 19 : PATTERNC4 = 4 : COUNT = 2
CUBE = 27 : PATTERNA7 = 27 : PATTERNB7 = 37 : PATTERNC9 = 9 : COUNT = 3
CUBE = 64 : PATTERNA4 = 64 : PATTERNB1 = 61 : PATTERNC6 = 16 : COUNT = 4
CUBE = 125 : PATTERNA5 = 125 : PATTERNB1 = 91 : PATTERNC5 = 25 : COUNT = 5
CUBE = 216 : PATTERNA6 = 216 : PATTERNB7 = 127 : PATTERNC6 = 36 : COUNT = 6
CUBE = 343 : PATTERNA3 = 343 : PATTERNB9 = 169 : PATTERNC9 = 49 : COUNT = 7
CUBE = 512 : PATTERNA2 = 512 : PATTERNB7 = 217 : PATTERNC4 = 64 : COUNT = 8
CUBE = 729 : PATTERNA9 = 729 : PATTERNB1 = 271 : PATTERNC1 = 81 : COUNT = 9
CUBE = 1000 : PATTERNA0 = 0 : PATTERNB1 = 331 : PATTERNC0 = 100 : COUNT = 10

Below are your first 10 numbers!

If my 10 cube numbers before this show that your 10 numbers are not the next 10 in order? then they are not cube numbers...

1234570577558077903820610782563862681159521
1234578963300600764248728267290289327790208
1234587349091946113381524138491336181010667
1234595734932114188092585109001774777647104
1234604120821105225256417288321736157578125
1234612506758919461748446185293104905117056
1234620892745557134445016710775918384436823
1234629278781018480223393180324771169042432
1234637664865303735961759316865224665296089
1234646050998413138539218253370221930000000

If my 10 cube numbers after this show that your 10 numbers before my 10 are not in order then they are not cube numbers...

Below are your second 10 numbers!

If my 10 cube numbers before this show that your 10 numbers are not the next 10 in order? then they are not cube numbers...

1234570577557885867934842042214716618784231
1234570577557920392790359486912182296227328
1234570577557954917645876932253308028520297
1234570577557989442501394378238093815663144
1234570577558023967356911824866539657655875
1234570577558058492212429272138645554498496
1234570577558093017067946720054411506191013
1234570577558127541923464168613837512733432
1234570577558162066778981617816923574125759
1234570577558196591634499067663669690368000

If my 10 cube numbers after this show that your 10 numbers before my 10 are not in order then they are not cube numbers...

Last edited by AnthonyRBrown (2024-04-11 07:38:23)

phrontister · 2024-04-12 01:16:51

Hi AnthonyRBrown;

I disagree with your reasoning [in post #47], but rather than correcting it I'm dropping out of this thread.

Last edited by phrontister (2024-04-16 13:30:43)

AnthonyRBrown · 2024-04-12 03:39:19

Sorry but you cannot correct the Truth!

As far as you dropping out of this thread,you put yourself in it! the bed is made,now lay in it!

A.R.B

phrontister · 2024-04-16 09:36:55

Last edited by phrontister (2024-04-17 10:09:30)

Math Is Fun Forum

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Re: Fermats Last Theorem Demonstration! by, Anthony.R.Brown (1998 Solved )

#38 2024-03-23 05:02:49

Re: Fermats Last Theorem Demonstration! by, Anthony.R.Brown (1998 Solved )

#39 2024-03-23 22:32:14

Re: Fermats Last Theorem Demonstration! by, Anthony.R.Brown (1998 Solved )

#40 2024-04-01 04:29:09

Re: Fermats Last Theorem Demonstration! by, Anthony.R.Brown (1998 Solved )

#41 2024-04-01 08:22:32

Re: Fermats Last Theorem Demonstration! by, Anthony.R.Brown (1998 Solved )

#42 2024-04-09 15:36:38

Re: Fermats Last Theorem Demonstration! by, Anthony.R.Brown (1998 Solved )

#43 2024-04-10 11:18:46

Re: Fermats Last Theorem Demonstration! by, Anthony.R.Brown (1998 Solved )

#44 2024-04-10 15:15:30

Re: Fermats Last Theorem Demonstration! by, Anthony.R.Brown (1998 Solved )

#45 2024-04-10 22:10:27

Re: Fermats Last Theorem Demonstration! by, Anthony.R.Brown (1998 Solved )

#46 2024-04-11 02:48:19

Re: Fermats Last Theorem Demonstration! by, Anthony.R.Brown (1998 Solved )

#47 2024-04-11 07:31:13

Re: Fermats Last Theorem Demonstration! by, Anthony.R.Brown (1998 Solved )

#48 2024-04-12 01:16:51

Re: Fermats Last Theorem Demonstration! by, Anthony.R.Brown (1998 Solved )

#49 2024-04-12 03:39:19

Re: Fermats Last Theorem Demonstration! by, Anthony.R.Brown (1998 Solved )

#50 2024-04-16 09:36:55

Re: Fermats Last Theorem Demonstration! by, Anthony.R.Brown (1998 Solved )

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